Minimal $D=4$ truncations of type IIA

Oscar Varela

REVIEW 2 major objections 4 minor 78 references

Minimal $D=4$ truncations of type IIA

T0 review · 2 major / 4 minor · reviewed 2026-08-14 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read This paper constructs explicit consistent truncations showing every solution of minimal N=2 or N=3 gauged supergravity in four dimensions lifts to an exact solution of massive type IIA supergravity.

desk verdict Varela writes down explicit consistent truncations of massive IIA on S^6 to pure N=2 and N=3 gauged supergravity, with the N=3 truncation genuinely new and the N=2 one generalizing an existing single-solution embedding; the verification is solid, and the one deferred check in ten dimensions is covered by a known theorem, not a real gap. read the letter →

arxiv 1908.00535 v2 pith:2G7RSGMY submitted 2019-08-01 hep-th gr-qc

Oscar Varela This is my paper · ORCID

classification hep-thgr-qc MSC 83E5083E30 PACS 04.65.+e11.25.-w

keywords consistenttruncationminimalgaugedsupergravityN=2N=3massivetypeIIAdyonicISO(7)AdS4vacuaS6reduction

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper establishes that the minimal (matter-free) $\mathcal{N}=2$ and $\mathcal{N}=3$ gauged supergravities in four dimensions are consistent truncations of ten-dimensional massive type IIA supergravity. Concretely, it writes down explicit uplift formulae, (4.1) to (4.3) for $\mathcal{N}=2$ and (4.8) to (4.9) for $\mathcal{N}=3$, such that any solution of the small four-dimensional theories—gravity plus a single U(1) graviphoton, or gravity plus an SO(3) Yang-Mills triplet—becomes an exact solution of the full ten-dimensional theory. The construction is two-step: a known reduction of massive IIA on the six-sphere to maximal $\mathcal{N}=8$ dyonic ISO(7) supergravity, followed by a new truncation of that $\mathcal{N}=8$ theory through an intermediate $\mathcal{N}=4$ sector to the minimal theories. If correct, the result turns every solution of these minimal supergravities, including black holes of interest in holography, into string-theory solutions without solving the ten-dimensional equations directly.

What carries the argument

The load-bearing mechanism is a composed truncation: massive IIA on the six-sphere reduces consistently to $\mathcal{N}=8$ dyonic ISO(7) supergravity [21, 44]; within that four-dimensional theory, the SO(3)$_R$-invariant sector [53] provides an intermediate $\mathcal{N}=4$ model large enough to contain both the $\mathcal{N}=2$ and $\mathcal{N}=3$ vacua; and a further field restriction cuts that $\mathcal{N}=4$ model down to the minimal theories. The decisive algebraic step is the field-strength constraint (3.2), derived from freezing the scalars, combined with the duality relations (2.13): they allow the massive, dyonically gauged non-compact vectors to be written in terms of the surviving graviphoton field strength and its Hodge dual rather than set to zero. The final ten-dimensional ansätze are obtained by substituting these four-dimensional identifications into the $S^6$ reduction formulae, with the metric rescaled by the constant (3.5).

What would settle it

Evaluate the ten-dimensional Einstein equation for the configuration (4.1)–(4.3) or (4.8)–(4.9) on a nontrivial solution of the minimal four-dimensional theory, for instance a charged black hole of minimal $\mathcal{N}=2$ gauged supergravity; appendix B explicitly stops short of that ten-dimensional check for both truncations, so a mismatch there would falsify the claim that every minimal-theory solution uplifts to massive IIA.

Watch

Extended reading notes

Core claim

The central claim is that the pure $\mathcal{N}=2$ and $\mathcal{N}=3$ gauged supergravities (A.2) and (A.6) sit inside maximal $\mathcal{N}=8$ dyonic ISO(7) supergravity, and therefore inside massive IIA on the six-sphere, as consistent subsectors. Consistency means that the field equations of the minimal theories imply the equations of motion of the parent theories after the identifications: the scalars are frozen at their $\mathcal{N}=2$ or $\mathcal{N}=3$ vacuum values, the surviving R-symmetry vectors are identified with the minimal graviphoton or SO(3) Yang-Mills field, and all other ISO(7) vectors are eliminated. A subtlety is that the non-compact vectors that become massive at the vacua cannot simply be set to zero; instead their field strengths are expressed, through the duality relations, in terms of the surviving field strengths and their Hodge duals, as in (3.13) and (3.20). The same identifications are then fed into the established $S^6$ reduction formulae to produce the ten-dimensional truncation ansätze (4.1)–(4.3) and (4.8)–(4.9). The consistency proof in appendix B verifies the ten-dimensional form-field equations; the ten-dimensional Einstein equation is not checked directly there, but is covered by the general consistency argument.

Load-bearing premise

The load-bearing premise is that the parent reduction of massive type IIA on the six-sphere to $\mathcal{N}=8$ dyonic ISO(7) supergravity is fully consistent, together with the intermediate $\mathcal{N}=4$ sector being a true subsector of that $\mathcal{N}=8$ theory; if either gives way, the new minimal truncations inherit the failure.

Editorial extensions

If this is right

Every solution of minimal $\mathcal{N}=2$ gauged supergravity, not just the particular black hole treated in [12], uplifts through (4.1)–(4.3) to an exact solution of massive type IIA supergravity.
Every solution of minimal $\mathcal{N}=3$ gauged supergravity uplifts through (4.8)–(4.9), and the further $\mathcal{N}=3\to\mathcal{N}=2$ restriction yields a second, distinct IIA uplift of minimal $\mathcal{N}=2$.
The truncations are formulated on smooth six-sphere geometries; the $\mathcal{N}=2$ ansatz also works over any local positive-curvature Kähler-Einstein four-space, and the $\mathcal{N}=3$ one over the lens space $S^3/\mathbb{Z}_p$ in place of the three-sphere.
Any solution of minimal $\mathcal{N}=2$ or $\mathcal{N}=3$ gauged supergravity, including the classified supersymmetric black holes, becomes a solution of the full ten-dimensional theory, so holographic and thermodynamic applications can be studied through the minimal four-dimensional fields.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

A direct numerical test would feed a known nontrivial solution of minimal $\mathcal{N}=2$ gauged supergravity—for example a charged or rotating black hole—into (4.1)–(4.3) and evaluate the ten-dimensional Einstein equation, which the paper's appendix does not explicitly verify.
The same two-step strategy may apply to other AdS$_4$ vacua of dyonic ISO(7) supergravity: whenever a vacuum has a residual R-symmetry group, freezing scalars and dualising away the massive dyonic vectors could build a minimal truncation without needing a G-structure description.
The way massive dyonic vectors are eliminated suggests a broader lesson: in a symplectic frame with magnetic gaugings, the correct way to 'turn off' a field may be to express it through duality with the surviving fields, and this prescription could be relevant to other consistent-truncation constructions.
Since the $\mathcal{N}=2$ ansatz is built around a Kähler-Einstein base, replacing $\mathbb{CP}^2$ by other positive-curvature Kähler-Einstein manifolds—a generalization already noted by the paper—could produce new consistent IIA truncations to minimal supergravity beyond the six-sphere family.

Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Bottom line: this is a solid, useful construction paper. The new result is the explicit consistent truncation of massive IIA on S^6 to pure N=3 gauged supergravity, and the N=2 truncation extends the known single-black-hole embedding from [12] to arbitrary fields of the minimal theory. Both truncations are written out concretely and are ready to use.

The strategy is a standard two-step composition: first truncate the D=4 N=8 ISO(7) supergravity down to the minimal N=2 and N=3 theories, fixing scalars at the appropriate vacua and writing the massive vector fields in terms of the surviving R-symmetry gauge fields and their duals. That D=4 subtruncation is checked at the level of all bosonic field equations, including Einstein, in section 3. Second, the known N=8 S^6 uplift formulae are applied. The logic is sound: if the N=8 truncation theorem is a theorem, the composition necessarily gives a consistent truncation. The paper also does a direct verification of the IIA form-field equations in appendix B, and that is a lot of honest algebra that passes.

Soft spots, in proportion: the direct IIA check explicitly stops short of the D=10 Einstein equation — appendix B says "up to a check" for both cases. But this is not a real gap, because the N=8 truncation theorem of Guarino–Varela covers the Einstein equation and the new D=4 truncation was verified in full. You would only worry if you distrusted that theorem, and nothing here gives you a reason to. The paper does rely on the N=4 sector of [53], an unreviewed preprint, as an intermediate step; that is normal practice in this field, but it does mean a referee would want to look at [53] as well. Finally, several checks are summarized with "some calculation" and the explicit algebra is not in a supplementary file. That is a bit opaque, but typical for this subfield.

Citation pattern is fine: the paper builds on its own earlier work, but those are established and published results about the N=8 truncation, not ad hoc inputs.

Who this is for: people working on holographic duals of the N=2 and N=3 AdS4 solutions in massive IIA, and anyone building a toolkit of consistent truncations. The N=3 truncation fills a real gap — N=3 pure supergravity truncations are rare. I would send this to peer review. The main request to the author would be to make the dependence on [53] explicit and, if feasible, spell out the Einstein check or state plainly that it follows from the N=8 theorem. But this paper deserves referee time.

Referee Report

2 major / 4 minor

Summary. The paper constructs explicit consistent truncations of D=4 N=8 dyonic ISO(7) supergravity to the minimal (pure) N=2 and N=3 gauged supergravities, and then combines these with the known consistent truncation of massive IIA on S^6 [21,44] to produce ten-dimensional uplifts. In the D=4 step, the scalars are frozen at the N=2 and N=3 vacua, only the graviphoton (N=2) or the SO(3) Yang-Mills triplet (N=3) is retained, and the massive/dyonically gauged vectors are eliminated using duality relations that express their field strengths in terms of the surviving R-symmetry fields. Consistency is checked at the level of the bosonic field equations, including the D=4 Einstein equation. The IIA uplift ansatze are given explicitly in (4.1)-(4.3) and (4.8)-(4.9). Appendix B verifies the Bianchi identities and equations of motion of the IIA form fields, while the D=10 Einstein equation is not checked directly; the paper argues that it follows from the consistency of the parent N=8 truncation together with the D=4 subtruncations.

Significance. If the construction is correct, the paper provides explicit, usable consistent embeddings of pure N=2 and N=3 gauged supergravities into massive type IIA supergravity, including a less common N=3 example. The treatment of the dyonic massive gauge fields by duality relations rather than by naive setting to zero is a technically interesting and potentially reusable ingredient. The explicit uplift formulas are a clear strength and are likely to be directly useful for generating new solutions. The main caveat is that the proof is not fully self-contained: the D=10 Einstein equation is not checked in the manuscript, and the central claim is therefore conditional on the completeness of the cited N=8 S^6 truncation theorem and on the N=4 sector of [53]. The paper is honest about the scope of its direct checks, which is commendable.

major comments (2)

[Appendix B.1 and B.2, with Section 4.1] The manuscript explicitly states that the D=10 Einstein equation is not checked: Appendix B.1 concludes 'Up to a check of the D=10 Einstein equation' and B.2 repeats 'up to a check of the D=10 Einstein equation', while Section 4.1 says 'verified, up to an explicit check of the Einstein equation'. Since the headline claim of the paper is that every solution of the minimal D=4 theories uplifts to a solution of massive IIA, the ten-dimensional Einstein equation is load-bearing. The composition argument via the N=8 truncation of [21,44] can close this gap, but only if that theorem is known to include the D=10 Einstein equation and to apply to the non-linear field combinations retained here, including both F and *F in the N=2 case and the shifted right-invariant forms and non-abelian SO(3) fields in the N=3 case. Please either provide a direct check of the D=10 Einstein equation for the ansatze (4.1)-(4.3) and (4.8)-(4.9), or state precisely which theorem in [21,44] covers that equation and why its hypotheses apply. As written, the proof of the central claim is one equation short of being self-contained.
[Sections 2 and 3.4] The D=4 consistency argument depends on two external inputs: the N=4 sector constructed in [53] and the embedding of that sector into the N=8 dyonic ISO(7) supergravity, as well as the N=8 S^6 truncation theorem of [21,44]. The paper does not re-derive either result, which is acceptable in principle, but it would help the reader to have a precise statement of what is assumed: in particular, whether [53] establishes a fully consistent truncation of N=8 to the N=4 model at the level of the bosonic equations of motion including the Einstein equation, and whether [44] includes the Einstein equation in its consistency statement. Please cite the specific propositions or sections that supply these facts. This would also resolve the ambiguity created by the 'up to a check' remarks in Appendix B.

minor comments (4)

[Section 3.3, near Eq. (3.17)] The phrase 'the vectors 2 1/2 (A'^i + delta^i_hat i A^{(L)hat i})' appears garbled; it should presumably be (1/sqrt(2)) or a similar normalization. Please correct the typo.
[Introduction and footnote 1] There are small typos: 'supergravitites' in the first paragraph should be 'supergravities', and 'footnone' in footnote 1 should be 'footnote'.
[General scope] The consistency checks are restricted to the bosonic field equations. If the phrase 'consistent embedding' is intended to cover the full supergravity theory, the fermionic sector should be discussed at least briefly; otherwise the paper should state explicitly that the fermionic truncation is not addressed.
[Appendix B] The appendix states that equations (B.10)-(B.16) are identically satisfied with the functions read from (4.7)-(4.9), but no intermediate details are given. A supplementary file or a list of the key algebraic identities used would make this extensive check more verifiable.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the minimal truncations are verified by direct substitution, and the cited N=8 S6 truncation is an external input, not a consequence of the target claim.

full rationale

The derivation is self-contained in the relevant sense. The paper constructs explicit D=4 embeddings of minimal N=2 and N=3 gauged supergravities into the N=4 sector of N=8 ISO(7) supergravity by fixing scalars to their known vevs, setting most vectors to zero, and solving the vector-duality constraints (3.1)-(3.3) for the non-compact fields in terms of the surviving graviphoton field strengths; it then verifies by direct substitution that the N=4 Bianchi identities, vector equations, scalar constraints and Einstein equations reduce to the minimal-theory equations (A.1) and (A.4), including the non-trivial cancellation of the topological term in (3.16) and (3.23). The further uplift to massive IIA is not derived from the target claim: it uses the previously established N=8 S6 truncation formulae of [21,44] as an external input, and Appendix B independently verifies the IIA form-field Bianchi identities and equations of motion for both truncations. The only unperformed check is the IIA Einstein equation, explicitly flagged twice as 'Up to a check of the D=10 Einstein equation' in Appendices B.1 and B.2; this gap is bridged by the cited N=8 consistency theorem, which is a parameter-free external result whose assumptions do not include the minimal truncations constructed here. The self-citations [21,44,53,55] are present and load-bearing, but they are not circular: they supply an independent truncation theorem and an intermediate N=4 sector, used as inputs rather than as consequences of this paper's results. No fitted parameters appear, no quantity is predicted from data used to define it, and no uniqueness theorem is invoked to forbid alternatives. Therefore no circular step is exhibited.

Assumptions & free parameters 0 free parameters · 4 assumptions · 0 invented entities

No new free parameters or invented entities are introduced. The construction relies on established results: the N=8 ISO(7) truncation of type IIA on S^6 and the N=4 sector of N=8 supergravity. These are inputs from prior work, so the ledger records them as domain assumptions.

assumptions (4)

domain assumption The consistent truncation of massive type IIA on S^6 to D=4 N=8 ISO(7) supergravity, established in [21,44], is valid.
Used throughout Section 4 to uplift the minimal theories to ten dimensions; the composition argument relies on this theorem.
domain assumption The N=4 model of [53] is a consistent SU(2)-invariant truncation of N=8 ISO(7) supergravity and contains the N=2 and N=3 vacua with full supersymmetry.
The minimal truncations are constructed within this N=4 sector, which is taken from a closely related preprint by the same author and collaborators.
domain assumption The scalar vevs (2.23) and (2.24) are critical points of the scalar potential preserving N=2 and N=3 supersymmetry respectively.
These values are taken from [51,53] and are the background values about which the truncations are defined.
standard math Standard supergravity duality relations and tensor hierarchy formalism are assumed.
The paper uses the duality relations (2.13) and the tensor hierarchy of [54,56] without deriving them.

how reviews work

0 comments

Cite this review

Pith. "Pith review of Minimal $D=4$ truncations of type IIA." pith.science (2026). https://pith.science/paper/2G7RSGMY

@misc{pith2026190800535,
  author       = {Pith},
  title        = {Pith review of: Minimal $D=4$ truncations of type IIA},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/2G7RSGMY}},
  note         = {Machine review of arXiv:1908.00535}
}

abstract

Consistent embeddings are found of the minimal $\mathcal{N} = 2$ and $\mathcal{N} = 3$ gauged supergravities in four dimensions into its maximally supersymmetric, $\mathcal{N} = 8$, counterpart with a dyonic ISO(7) gauging. These minimal truncations retain the metric along with relevant U(1) and SO(3) R-symmetry gauge fields selected from the ISO(7) ones. The remaining ISO(7) gauge fields are turned off, with subtleties introduced by the dyonic gauging, and the scalars are fixed to their expectation values at the $\mathcal{N} = 2$ and $\mathcal{N} = 3$ vacua of the $\mathcal{N} = 8$ theory. Using the truncation formulae for massive type IIA supergravity on the six-sphere to $D=4$ $\mathcal{N} = 8$ ISO(7) supergravity, the minimal $D=4$ $\mathcal{N} = 2$ and $\mathcal{N} = 3$ gauged supergravities are then uplifted consistently to ten dimensions.

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

78 extracted references · 23 canonical work pages

[12]

Azzurli, N

F. Azzurli, N. Bobev, P. M. Crichigno, V. S. Min, and A. Za ﬀaroni, A universal counting of black hole microstates in AdS 4, JHEP 02 (2018) 054, [arXiv:1707.04257]

arXiv 2018
[53]

Guarino, J

A. Guarino, J. Tarrio, and O. Varela, Halving ISO(7) supergravity , arXiv:1907.11681. 33

arXiv 1907
[44]

Guarino and O

A. Guarino and O. Varela, Consistent N = 8 truncation of massive IIA on S 6, JHEP 12 (2015) 020, [ arXiv:1509.02526]

arXiv 2015
[1]

H. Liu, J. McGreevy, and D. Vegh, Non-Fermi liquids from holography , Phys. Rev. D83 (2011) 065029, [ arXiv:0903.2477]

arXiv 2011
[2]

D’Hoker and P

E. D’Hoker and P. Kraus, Magnetic Brane Solutions in AdS , JHEP 10 (2009) 088, [arXiv:0908.3875]

arXiv 2009
[3]

J. P. Gauntlett, J. Sonner, and D. Waldram, Universal fermionic spectral functions from string theory , Phys. Rev. Lett. 107 (2011) 241601, [ arXiv:1106.4694]

work page Pith review arXiv 2011
[4]

Martelli, A

D. Martelli, A. Passias, and J. Sparks, The supersymmetric NUTs and bolts of holography, Nucl. Phys. B876 (2013) 810–870, [ arXiv:1212.4618]

arXiv 2013
[5]

R. A. Davison and A. Parnachev, Hydrodynamics of cold holographic matter , JHEP 06 (2013) 100, [ arXiv:1303.6334]

arXiv 2013

Show all 78 references

[6]

Martelli and A

D. Martelli and A. Passias, The gravity dual of supersymmetric gauge theories on a two-parameter deformed three-sphere, Nucl. Phys. B877 (2013) 51–72, [arXiv:1306.3893]. 30

2013 arXiv
[7]

Cassani and D

D. Cassani and D. Martelli, The gravity dual of supersymmetric gauge theories on a squashed S 1 x S 3, JHEP 08 (2014) 044, [ arXiv:1402.2278]

2014 arXiv
[8]

Benini, N

F. Benini, N. Bobev, and P. M. Crichigno, Two-dimensional SCFTs from D3-branes , JHEP 07 (2016) 020, [ arXiv:1511.09462]

2016 arXiv
[9]

Benetti Genolini, D

P. Benetti Genolini, D. Cassani, D. Martelli, and J. Spar ks, Holographic renormalization and supersymmetry , JHEP 02 (2017) 132, [ arXiv:1612.06761]

2017 arXiv
[10]

Ammon, M

M. Ammon, M. Kaminski, R. Koirala, J. Leiber, and J. Wu, Quasinormal modes of charged magnetic black branes & chiral magnetic transport , JHEP 04 (2017) 067, [arXiv:1701.05565]

2017 arXiv
[11]

J. L. Blzquez-Salcedo, J. Kunz, F. Navarro-Lrida, and E . Radu, AdS5 magnetized solutions in minimal gauged supergravity , Phys. Lett. B771 (2017) 52–58, [arXiv:1703.04163]

2017 arXiv
[13]

Bobev and P

N. Bobev and P. M. Crichigno, Universal RG Flows Across Dimensions and Holography, JHEP 12 (2017) 065, [ arXiv:1708.05052]

2017 arXiv
[14]

J. L. Blzquez-Salcedo, J. Kunz, F. Navarro-Lrida, and E . Radu, New black holes in D = 5 minimal gauged supergravity: Deformed boundaries and froz en horizons , Phys. Rev. D97 (2018), no. 8 081502, [ arXiv:1711.08292]

2018 arXiv
[15]

Cabo-Bizet, D

A. Cabo-Bizet, D. Cassani, D. Martelli, and S. Murthy, Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS 5 black holes , JHEP 10 (2019) 062, [ arXiv:1810.11442]

2019 arXiv
[16]

Benetti Genolini, J

P. Benetti Genolini, J. M. Prez Ipia, and J. Sparks, Localization of the action in AdS/CFT, arXiv:1906.11249

1906 arXiv
[17]

D. Gang, N. Kim, and L. A. Pando Zayas, Precision Microstate Counting for the Entropy of Wrapped M5-branes , arXiv:1905.01559

1905 arXiv
[18]

Romans, Massive N=2a Supergravity in Ten-Dimensions , Phys.Lett

L. Romans, Massive N=2a Supergravity in Ten-Dimensions , Phys.Lett. B169 (1986) 374

1986
[19]

E. S. Fradkin and M. A. Vasiliev, Model of Supergravity with Minimal Electromagnetic Interaction, LEBEDEV-76-197 (1976)

1976
[20]

D. Z. Freedman and A. K. Das, Gauge Internal Symmetry in Extended Supergravity , Nucl. Phys. B120 (1977) 221–230

1977
[21]

Guarino, D

A. Guarino, D. L. Jaﬀeris, and O. Varela, The string origin of dyonic N=8 supergravity and its simple Chern-Simons duals , Phys. Rev. Lett. 115 (2015), no. 9 091601, [ arXiv:1504.08009]. 31

2015 arXiv
[22]

Pang and J

Y. Pang and J. Rong, N=3 solution in dyonic ISO(7) gauged maximal supergravity and its uplift to massive type IIA supergravity , Phys. Rev. D92 (2015), no. 8 085037, [arXiv:1508.05376]

2015 arXiv
[23]

G. B. De Luca, G. L. Monaco, N. T. Macpherson, A. Tomasiel lo, and O. Varela, The geometry of N = 3 AdS4 in massive IIA , JHEP 08 (2018) 133, [ arXiv:1805.04823]

2018 arXiv
[24]

J. P. Gauntlett and O. Varela, Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions , Phys.Rev. D76 (2007) 126007, [ arXiv:0707.2315]

2007 arXiv
[25]

Cassani, G

D. Cassani, G. Josse, M. Petrini, and D. Waldram, Systematics of consistent truncations from generalised geometry , arXiv:1907.06730

1907 arXiv
[26]

M. J. Duﬀ and C. N. Pope, Consistent truncations in Kaluza-Klein theories , Nucl. Phys. B255 (1985) 355–364

1985
[27]

C. N. Pope and K. S. Stelle, Zilch Currents, Supersymmetry and Kaluza-Klein Consistency, Phys. Lett. B198 (1987) 151

1987
[28]

J. P. Gauntlett, D. Martelli, S. Pakis, and D. Waldram, G structures and wrapped NS5-branes, Commun. Math. Phys. 247 (2004) 421–445, [ hep-th/0205050]

2004 arXiv
[29]

C. N. Pope, Consistency of truncations in Kaluza-Klein , Conf. Proc. C841031 (1984) 429–431

1984
[30]

C. N. Pope, The Embedding of the Einstein Yang-Mills Equations in d = 11 Supergravity, Class. Quant. Grav. 2 (1985) L77

1985
[31]

T. T. Tsikas, Consistent Truncations of Chiral N = 2D = 10 Supergravity on the Round Five Sphere , Class. Quant. Grav. 3 (1986) 733

1986
[32]

Buchel and J

A. Buchel and J. T. Liu, Gauged supergravity from type IIB string theory on Y**p,q manifolds, Nucl.Phys. B771 (2007) 93–112, [ hep-th/0608002]

2007 arXiv
[33]

J. P. Gauntlett, E. O Colgain, and O. Varela, Properties of some conformal ﬁeld theories with M-theory duals , JHEP 02 (2007) 049, [ hep-th/0611219]

2007 arXiv
[34]

J. P. Gauntlett and O. Varela, D=5 SU(2) x U(1) Gauged Supergravity from D=11 Supergravity, JHEP 02 (2008) 083, [ arXiv:0712.3560]

2008 arXiv
[35]

Passias, A

A. Passias, A. Rota, and A. Tomasiello, Universal consistent truncation for 6d/7d gauge/gravity duals, JHEP 10 (2015) 187, [ arXiv:1506.05462]

2015 arXiv
[36]

Malek, Half-Maximal Supersymmetry from Exceptional Field Theory , Fortsch

E. Malek, Half-Maximal Supersymmetry from Exceptional Field Theory , Fortsch. Phys. 65 (2017), no. 10-11 1700061, [ arXiv:1707.00714]

2017 arXiv
[37]

J. Hong, J. T. Liu, and D. R. Mayerson, Gauged Six-Dimensional Supergravity from Warped IIB Reductions, JHEP 09 (2018) 140, [ arXiv:1808.04301]. 32

2018 arXiv
[38]

Malek, H

E. Malek, H. Samtleben, and V. Vall Camell, Supersymmetric AdS7 and AdS 6 vacua and their minimal consistent truncations from exceptional ﬁeld theory , Phys. Lett. B786 (2018) 171–179, [ arXiv:1808.05597]

2018 arXiv
[39]

J. T. Liu and B. McPeak, Gauged Supergravity from the Lunin-Maldacena background, arXiv:1905.06861

1905 arXiv
[40]

Larios and O

G. Larios and O. Varela, Minimal D = 4N=2 supergravity from D = 11: an M-theory free lunch , JHEP 10 (2019) 251, [ arXiv:1907.11027]

2019 arXiv
[41]

Petrini and A

M. Petrini and A. Zaﬀaroni, N=2 solutions of massive type IIA and their Chern-Simons duals , JHEP 09 (2009) 107, [ arXiv:0904.4915]

2009 arXiv
[42]

Lust and D

D. Lust and D. Tsimpis, New supersymmetric AdS(4) type II vacua , JHEP 0909 (2009) 098, [ arXiv:0906.2561]

2009 arXiv
[43]

Passias, D

A. Passias, D. Prins, and A. Tomasiello, A massive class of N = 2 AdS4 IIA solutions, JHEP 10 (2018) 071, [ arXiv:1805.03661]

2018 arXiv
[45]

Ciceri, A

F. Ciceri, A. Guarino, and G. Inverso, The exceptional story of massive IIA supergravity, JHEP 08 (2016) 154, [ arXiv:1604.08602]

2016 arXiv
[46]

Cassani, O

D. Cassani, O. de Felice, M. Petrini, C. Strickland-Con stable, and D. Waldram, Exceptional generalised geometry for massive IIA and consist ent reductions, JHEP 08 (2016) 074, [ arXiv:1605.00563]

2016 arXiv
[47]

Inverso, H

G. Inverso, H. Samtleben, and M. Trigiante, Type II supergravity origin of dyonic gaugings, Phys. Rev. D95 (2017), no. 6 066020, [ arXiv:1612.05123]

2017 arXiv
[48]

Dall’Agata, G

G. Dall’Agata, G. Inverso, and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys.Rev.Lett. 109 (2012) 201301, [ arXiv:1209.0760]

2012 arXiv
[49]

Dall’Agata, G

G. Dall’Agata, G. Inverso, and A. Marrani, Symplectic Deformations of Gauged Maximal Supergravity, JHEP 1407 (2014) 133, [ arXiv:1405.2437]

2014 arXiv
[50]

Inverso, Electric-magnetic deformations of D = 4 gauged supergravit ies, JHEP 03 (2016) 138, [ arXiv:1512.04500]

G. Inverso, Electric-magnetic deformations of D = 4 gauged supergravit ies, JHEP 03 (2016) 138, [ arXiv:1512.04500]

2016 arXiv
[51]

Guarino and O

A. Guarino and O. Varela, Dyonic ISO(7) supergravity and the duality hierarchy , JHEP 02 (2016) 079, [ arXiv:1508.04432]

2016 arXiv
[52]

Gallerati, H

A. Gallerati, H. Samtleben, and M. Trigiante, The N > 2 supersymmetric AdS vacua in maximal supergravity , JHEP 12 (2014) 174, [ arXiv:1410.0711]

2014 arXiv
[54]

de Wit, H

B. de Wit, H. Nicolai, and H. Samtleben, Gauged Supergravities, Tensor Hierarchies, and M-Theory, JHEP 02 (2008) 044, [ arXiv:0801.1294]

2008 arXiv
[55]

Varela, AdS4 solutions of massive IIA from dyonic ISO(7) supergravity , JHEP 03 (2016) 071, [ arXiv:1509.07117]

O. Varela, AdS4 solutions of massive IIA from dyonic ISO(7) supergravity , JHEP 03 (2016) 071, [ arXiv:1509.07117]

2016 arXiv
[56]

E. A. Bergshoeﬀ, J. Hartong, O. Hohm, M. Huebscher, and T. Ortin, Gauge Theories, Duality Relations and the Tensor Hierarchy , JHEP 0904 (2009) 123, [arXiv:0901.2054]

2009 arXiv
[57]

Y. Pang, J. Rong, and O. Varela, Spectrum universality properties of holographic Chern-Simons theories, JHEP 01 (2018) 061, [ arXiv:1711.07781]

2018 arXiv
[58]

Guarino, J

A. Guarino, J. Tarrio, and O. Varela, Romans-mass-driven ﬂows on the D2-brane , JHEP 08 (2016) 168, [ arXiv:1605.09254]

2016 arXiv
[59]

J. P. Gauntlett, S. Kim, O. Varela, and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes , JHEP 0904 (2009) 102, [arXiv:0901.0676]

2009 arXiv
[60]

Cassani, G

D. Cassani, G. Dall’Agata, and A. F. Faedo, Type IIB supergravity on squashed Sasaki-Einstein manifolds , JHEP 1005 (2010) 094, [ arXiv:1003.4283]

2010 arXiv
[61]

J. P. Gauntlett and O. Varela, Universal Kaluza-Klein reductions of type IIB to N=4 supergravity in ﬁve dimensions , JHEP 1006 (2010) 081, [ arXiv:1003.5642]

2010 arXiv
[62]

J. T. Liu, P. Szepietowski, and Z. Zhao, Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds , Phys. Rev. D81 (2010) 124028, [arXiv:1003.5374]

2010 arXiv
[63]

Cassani and P

D. Cassani and P. Koerber, Tri-Sasakian consistent reduction, JHEP 1201 (2012) 086, [ arXiv:1110.5327]

2012 arXiv
[64]

Cassani, P

D. Cassani, P. Koerber, and O. Varela, All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua , JHEP 1211 (2012) 173, [ arXiv:1208.1262]

2012 arXiv
[65]

Donos, J

A. Donos, J. P. Gauntlett, N. Kim, and O. Varela, Wrapped M5-branes, consistent truncations and AdS/CMT , JHEP 12 (2010) 003, [ arXiv:1009.3805]

2010 arXiv
[66]

Malek, H

E. Malek, H. Samtleben, and V. Vall Camell, Supersymmetric AdS7 and AdS 6 vacua and their consistent truncations with vector multiplets , JHEP 04 (2019) 088, [arXiv:1901.11039]

2019 arXiv
[67]

K. C. M. Cheung, J. P. Gauntlett, and C. Rosen, Consistent KK truncations for M5-branes wrapped on Riemann surfaces , Class. Quant. Grav. 36 (2019), no. 22 225003, [ arXiv:1906.08900]

2019 arXiv
[68]

Larios, P

G. Larios, P. Ntokos, and O. Varela, Embedding the SU(3) sector of SO(8) supergravity in D = 11, Phys. Rev. D100 (2019), no. 8 086021, [ arXiv:1907.02087]. 34

2019 arXiv
[69]

de Wit and H

B. de Wit and H. Nicolai, N=8 Supergravity, Nucl.Phys. B208 (1982) 323

1982
[70]

Warner, Some New Extrema of the Scalar Potential of Gauged N = 8 Supergravity, Phys.Lett

N. Warner, Some New Extrema of the Scalar Potential of Gauged N = 8 Supergravity, Phys.Lett. B128 (1983) 169

1983
[71]

de Wit and H

B. de Wit and H. Nicolai, The Consistency of the S7 Truncation in D = 11 Supergravity, Nucl.Phys. B281 (1987) 211

1987
[72]

Varela, Complete D = 11 embedding of SO(8) supergravity , Phys

O. Varela, Complete D = 11 embedding of SO(8) supergravity , Phys. Rev. D97 (2018), no. 4 045010, [ arXiv:1512.04943]

2018 arXiv
[73]

Cremmer, B

E. Cremmer, B. Julia, and J. Scherk, Supergravity Theory in Eleven-Dimensions , Phys.Lett. B76 (1978) 409–412

1978
[74]

Corrado, K

R. Corrado, K. Pilch, and N. P. Warner, An N=2 supersymmetric membrane ﬂow , Nucl. Phys. B629 (2002) 74–96, [ hep-th/0107220]

2002 arXiv
[75]

Guarino and J

A. Guarino and J. Tarro, BPS black holes from massive IIA on S 6, JHEP 09 (2017) 141, [ arXiv:1703.10833]

2017 arXiv
[76]

S. M. Hosseini, K. Hristov, and A. Passias, Holographic microstate counting for AdS 4 black holes in massive IIA supergravity , JHEP 10 (2017) 190, [ arXiv:1707.06884]

2017 arXiv
[77]

M. M. Caldarelli and D. Klemm, All supersymmetric solutions of N=2, D = 4 gauged supergravity, JHEP 09 (2003) 019, [ hep-th/0307022]

2003 arXiv
[78]

Fluder and J

M. Fluder and J. Sparks, D2-brane Chern-Simons theories: F-maximization = a-maximization, JHEP 01 (2016) 048, [ arXiv:1507.05817]. 35

2016 arXiv

Pith tools

Reviewed August 14, 2026 · model on record in the stance chip above.

[1] [12]

Azzurli, N

F. Azzurli, N. Bobev, P. M. Crichigno, V. S. Min, and A. Za ﬀaroni, A universal counting of black hole microstates in AdS 4, JHEP 02 (2018) 054, [arXiv:1707.04257]

arXiv 2018

[2] [53]

Guarino, J

A. Guarino, J. Tarrio, and O. Varela, Halving ISO(7) supergravity , arXiv:1907.11681. 33

arXiv 1907

[3] [44]

Guarino and O

A. Guarino and O. Varela, Consistent N = 8 truncation of massive IIA on S 6, JHEP 12 (2015) 020, [ arXiv:1509.02526]

arXiv 2015

[4] [1]

H. Liu, J. McGreevy, and D. Vegh, Non-Fermi liquids from holography , Phys. Rev. D83 (2011) 065029, [ arXiv:0903.2477]

arXiv 2011

[5] [2]

D’Hoker and P

E. D’Hoker and P. Kraus, Magnetic Brane Solutions in AdS , JHEP 10 (2009) 088, [arXiv:0908.3875]

arXiv 2009

[6] [3]

J. P. Gauntlett, J. Sonner, and D. Waldram, Universal fermionic spectral functions from string theory , Phys. Rev. Lett. 107 (2011) 241601, [ arXiv:1106.4694]

work page Pith review arXiv 2011

[7] [4]

Martelli, A

D. Martelli, A. Passias, and J. Sparks, The supersymmetric NUTs and bolts of holography, Nucl. Phys. B876 (2013) 810–870, [ arXiv:1212.4618]

arXiv 2013

[8] [5]

R. A. Davison and A. Parnachev, Hydrodynamics of cold holographic matter , JHEP 06 (2013) 100, [ arXiv:1303.6334]

arXiv 2013