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A generalized topological term makes the Type IIB on-shell action match holography on a wider class of AdS backgrounds.

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T0 review · grok-4.5

2026-07-13 22:44 UTC pith:EZSTOSWC

load-bearing objection Clean, useful extension of the Kurlyand-Tseytlin topological fix that restores a non-vanishing 10d on-shell action for a larger but still restricted class of Type IIB AdS backgrounds, with exact matches on LM and S-fold.

arxiv 2603.18248 v3 pith:EZSTOSWC submitted 2026-03-18 hep-th

Type IIB Supergravity Action and Holography

Soumya Adhikari , Junho Hong , Chanyoung Joung , Geum Lee This is my paper
classification hep-th
keywords Type IIB supergravityPST formulationholographic free energytopological termLunin-MaldacenaS-foldself-dual five-formAdS/CFT
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

The usual ten-dimensional Type IIB pseudo-action vanishes on the classic AdS5 times S5 background, so it cannot reproduce the free energy of the dual field theory even though five-dimensional gauged supergravity does. Earlier work fixed this for a narrow class of solutions by adding a topological term inside the Pasti-Sorokin-Tonin formulation. This paper supplies a milder topological correction that works for AdS factors of any dimension and for solutions that carry non-zero two-form potentials. When the new action is evaluated on the Lunin-Maldacena deformation and on an AdS4 S-fold, its on-shell value exactly equals the corresponding lower-dimensional gauged-supergravity result and therefore matches the expected holographic free energy. The construction therefore lets holographic free-energy comparisons be performed directly in the original ten-dimensional theory for a substantially larger set of backgrounds.

Core claim

The refined PST action SAHJL obtained by adding the two topological corrections −(i/4κ^{2})∫ F5E ∧ F5NE and −(i/4κ^{2})∫ d(X5 ∧ C4) is invariant under the residual PST gauge symmetry on product (or warped-product) backgrounds that obey three mild assumptions, and its on-shell value on the Lunin-Maldacena and AdS4 S-fold solutions coincides with the lower-dimensional gauged-supergravity on-shell actions.

What carries the argument

The electric-magnetic split F5 = F5E + F5NE of the closed five-form, together with the two topological terms built from that split, that restore gauge invariance of the PST action in the presence of boundaries.

Load-bearing premise

The closed five-form must admit a global electric-magnetic split in which every component of the exact piece shares a common one-form leg along the external manifold while the non-exact piece carries none of that leg; without such a split the topological cancellation fails.

What would settle it

Compute the refined on-shell action on a warped AdS6 × S^{2} solution (or any AdS_d background with d ≥ 6) and check whether it still equals the corresponding lower-dimensional gauged-supergravity free energy; a mismatch would falsify the claim that the present topological term is already sufficient.

Watch this falsifier — get emailed when new claim-graph text bears on it.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

0 major / 4 minor

Summary. The paper refines the Euclidean PST formulation of Type IIB supergravity by adding a topological correction S_AHJL = S_PST - (i/4κ^{2})∫ F5E ∧ F5NE - (i/4κ^{2})∫ d(X5 ∧ C4) that restores the δℓ gauge symmetry on product backgrounds Md imes X10-d (possibly warped) under three stated assumptions. The coefficient is fixed by gauge invariance rather than holography. On-shell, the bulk terms reduce to a total derivative plus the topological piece (eq. 4.3). Explicit evaluation on EAdS5 imes S5, the Lunin–Maldacena solution, and the AdS4 S-fold yields values that match the corresponding 5d/4d gauged-supergravity on-shell actions (eqs. 4.7=4.10, 4.16=4.17, 4.23=4.26), thereby reproducing the expected holographic free energies. The construction recovers the earlier Kurlyand–Tseytlin term as a special case and is shown to be compatible with a natural electric/magnetic split in the clone-field formalism.

Significance. If correct, the work removes a long-standing obstruction to computing holographic free energies directly from the ten-dimensional Type IIB action rather than from consistent truncations. The extension beyond pure AdS5 imes S5 to backgrounds with non-vanishing 2-forms and unequal external/internal dimensions is a concrete technical advance. The coefficient is fixed by an independent consistency requirement (PST gauge invariance on manifolds with boundary), so the subsequent holographic matches constitute genuine checks rather than circular fits. The explicit, parameter-free numerical agreements on the Lunin–Maldacena and S-fold solutions, together with the transparent reduction of the bulk action, strengthen the case that a properly refined Type IIB action can serve as a first-principles starting point for holographic comparisons.

minor comments (4)
  1. In §3.1 the three assumptions are stated clearly, but a short explicit checklist of which assumptions are used for each of the three examples in §4 would help the reader verify that the electric-magnetic split is unambiguous in each case.
  2. Footnote 6 notes that for d ≥ 6 the first topological term vanishes identically; a one-sentence remark in the main text of §5 pointing to this fact would make the open-problem discussion more self-contained.
  3. The relation between the refined PST action and the clone-field decomposition (eq. 3.10) is useful; a brief cross-reference back to the on-shell clone-field expression (2.24) would tighten the comparison.
  4. A few typographical inconsistencies appear (e.g., occasional missing spaces after commas in equations, and the arXiv identifier in the header). These are easily cleaned in production.

Circularity Check

1 steps flagged

No load-bearing circularity: topological coefficient fixed by PST gauge invariance under stated assumptions; holography is a post-hoc consistency check. Mild dependency only in the clone-field ambiguity fix.

specific steps
  1. self definitional [§3.2, eqs. (3.10) and surrounding text]
    "A direct inspection shows that the two actions coincide provided we identify the 5-form field strengths according to F5 ←→ F5NE & aQ ←→ F5E o once the ambiguity in the clone-field decomposition is fixed by the prescription (3.10), the clone-field and refined PST formalisms become equivalent o this fixing of the ambiguity has been motivated indirectly through comparison with the refined PST formulation rather than derived intrinsically within the clone-field framework itself."

    The unique electric/magnetic split that makes the clone-field on-shell action reproduce holography is defined by equating it to the already-constructed PST split; the paper acknowledges the prescription is not intrinsic to the clone-field formalism. This is a minor definitional dependency confined to the interpretive discussion of an alternative formulation and does not enter the derivation or tests of SAHJL itself.

full rationale

The central construction (SAHJL in (3.2)) is derived by requiring that the boundary variation of SPST under δℓ (3.1) cancel, which fixes both the form and the coefficient −i/4κ^{2} of the two topological pieces under the three geometric assumptions of §3.1; the cancellation is verified algebraically in (3.5). The subsequent on-shell evaluations on EAdS5×S5, Lunin-Maldacena and the AdS4 S-fold (4.7, 4.16, 4.23) are direct substitutions of the known backgrounds into the already-fixed action (4.3) and are then compared with independent lower-dimensional gauged-supergravity results obtained by consistent truncation. No parameter is fitted to holographic data, no uniqueness theorem is imported from the authors’ prior work, and the reduction of SAHJL to the earlier KT term under the special assumptions of [11] is an explicit special-case check rather than a circular premise. The only mild self-referential step is the prescription (3.10) that resolves the clone-field decomposition ambiguity by matching to the refined PST split; the paper itself flags this as “motivated indirectly” and leaves an intrinsic clone-field derivation open. That step is not used for the main claims about the PST action or the holographic matches, so the overall circularity score remains 1.

Axiom & Free-Parameter Ledger

0 free parameters · 4 axioms · 1 invented entities

The central claim rests on the standard PST gauge structure, the three geometric/field-content assumptions that make the new topological term cancel the boundary variation, and the conventional identification of the on-shell action with the holographic free energy after renormalization. No free parameters are fitted; the coefficient of the topological term is fixed by gauge invariance. The only invented object is the refined topological correction itself, whose independent evidence is the successful matching on two non-trivial backgrounds.

axioms (4)
  • domain assumption The PST gauge transformations (2.9) and the requirement that gauge parameters vanish on the boundary are the correct starting point for a covariant Type IIB action.
    Taken from the literature (Pasti-Sorokin-Tonin, Dall’Agata et al.); used throughout §2.2 and Appendix B.
  • domain assumption The 10d background factorizes as Md × X10−d (possibly warped) with Md non-compact and X compact (Assumption 1 of §3.1).
    Required for the Stokes theorem argument that kills the residual boundary integral after cancellation.
  • ad hoc to paper The closed 5-form admits a global split F5 = F5E + F5NE in which F5E is exact, δℓ F5NE = dX Λ4, and every component of F5E shares a common external one-form leg while F5NE does not (Assumptions 2–3 of §3.1).
    These conditions are introduced precisely so that the new topological term cancels the gauge variation; they are not derived from first principles for arbitrary Type IIB solutions.
  • domain assumption After holographic renormalization the finite part of the on-shell action equals the dual CFT free energy (or supersymmetric Casimir energy).
    Standard AdS/CFT dictionary; used to interpret the matching with lower-dimensional results as holographic success.
invented entities (1)
  • Refined topological correction S(top)AHJL = −(i/4κ^{2})∫ F5E ∧ F5NE − (i/4κ^{2})∫ d(X5 ∧ C4) no independent evidence
    purpose: Restore δℓ gauge invariance of the PST action on backgrounds with boundaries under milder assumptions than Kurlyand-Tseytlin, thereby producing a non-vanishing on-shell value.
    The term is engineered by hand to cancel the two pieces of the gauge variation (3.1). Independent evidence is limited to successful matching on two known solutions; no first-principles derivation from string field theory or a more fundamental principle is given.

pith-pipeline@v1.1.0-grok45 · 32105 in / 3014 out tokens · 25105 ms · 2026-07-13T22:44:37.041176+00:00 · methodology

0 comments
read the original abstract

In the prototypical AdS$_5$/CFT$_4$ correspondence, the free energy of $\mathcal{N}=4$ SU$(N)$ super Yang-Mills theory is commonly reproduced from the Euclidean on-shell action of five-dimensional gauged supergravity -- a consistent truncation of Type IIB supergravity -- rather than computed directly in ten dimensions. A longstanding obstacle to the latter is that the conventional Type IIB pseudo-action evaluated on the $AdS_5\times S^5$ background vanishes identically, apparently precluding a first-principles holographic comparison. A recent proposal by Kurlyand and Tseytlin, based on the Pasti-Sorokin-Tonin formulation, resolves this issue for a special class of backgrounds including the $AdS_5\times S^5$ vacuum by introducing a topological term required for consistency, yielding a non-vanishing on-shell value in agreement with holography. In this work we extend this refinement to a broader class of Type IIB backgrounds by introducing a generalized topological correction under milder conditions, encompassing AdS geometries of generic dimension and non-vanishing 2-form potentials. We test the proposal on non-trivial solutions such as the Lunin-Maldacena background and the $AdS_4$ $S$-fold solution, and find agreement with the corresponding lower-dimensional gauged supergravity on-shell actions and thereby with the expected holographic observables. Our results place direct holographic comparisons within the ten-dimensional Type IIB framework on firmer ground.

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Reference graph

Works this paper leans on

83 extracted references · 79 linked inside Pith · cited by 2 Pith papers

  1. [1]

    J. M. Maldacena,The LargeNlimit of superconformal field theories and supergravity,Adv. Theor. Math. Phys.2(1998) 231–252, [hep-th/9711200]

    Pith/arXiv arXiv 1998

  2. [2]

    Witten,Anti de Sitter space and holography,Adv

    E. Witten,Anti de Sitter space and holography,Adv. Theor. Math. Phys.2(1998) 253–291, [hep-th/9802150]

    Pith/arXiv arXiv 1998

  3. [3]

    S. S. Gubser, I. R. Klebanov and A. M. Polyakov,Gauge theory correlators from noncritical string theory,Phys. Lett. B428(1998) 105–114, [hep-th/9802109]

    Pith/arXiv arXiv 1998

  4. [4]

    Henningson and K

    M. Henningson and K. Skenderis,The Holographic Weyl anomaly,JHEP07(1998) 023, [hep-th/9806087]

    Pith/arXiv arXiv 1998

  5. [5]

    Pestun,Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun

    V. Pestun,Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys.313(2012) 71–129, [0712.2824]

    Pith/arXiv arXiv 2012

  6. [6]

    Cvetic, M

    M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu et al.,Embedding AdS black holes in ten-dimensions and eleven-dimensions,Nucl. Phys. B558(1999) 96–126, [hep-th/9903214]

    Pith/arXiv arXiv 1999

  7. [7]

    Cvetic, H

    M. Cvetic, H. Lu, C. N. Pope, A. Sadrzadeh and T. A. Tran,Consistent SO(6) reduction of type IIB supergravity on S**5,Nucl. Phys. B586(2000) 275–286, [hep-th/0003103]

    Pith/arXiv arXiv 2000

  8. [8]

    Baguet, O

    A. Baguet, O. Hohm and H. Samtleben,Consistent Type IIB Reductions to Maximal 5D Supergravity,Phys. Rev. D92(2015) 065004, [1506.01385]

    Pith/arXiv arXiv 2015

  9. [9]

    Bhattacharyya, A

    S. Bhattacharyya, A. Grassi, M. Marino and A. Sen,A One-Loop Test of Quantum Supergravity,Class. Quant. Grav.31(2014) 015012, [1210.6057]

    Pith/arXiv arXiv 2014

  10. [10]

    Bobev, M

    N. Bobev, M. David, J. Hong, V. Reys and X. Zhang,A compendium of logarithmic corrections in AdS/CFT,JHEP04(2024) 020, [2312.08909]

    Pith/arXiv arXiv 2024

  11. [11]

    S. A. Kurlyand and A. A. Tseytlin,Type IIB supergravity action onM 5 ×X 5 solutions,Phys. Rev. D106(2022) 086017, [2206.14522]

    Pith/arXiv arXiv 2022

  12. [12]

    Dall’Agata, K

    G. Dall’Agata, K. Lechner and D. P. Sorokin,Covariant actions for the bosonic sector of d = 10 IIB supergravity,Class. Quant. Grav.14(1997) L195–L198, [hep-th/9707044]. – 29 –

    Pith/arXiv arXiv 1997

  13. [13]

    Dall’Agata, K

    G. Dall’Agata, K. Lechner and M. Tonin,D = 10, N = IIB supergravity: Lorentz invariant actions and duality,JHEP07(1998) 017, [hep-th/9806140]

    Pith/arXiv arXiv 1998

  14. [14]

    Pasti, D

    P. Pasti, D. P. Sorokin and M. Tonin,Note on manifest Lorentz and general coordinate invariance in duality symmetric models,Phys. Lett. B352(1995) 59–63, [hep-th/9503182]

    Pith/arXiv arXiv 1995

  15. [15]

    Pasti, D

    P. Pasti, D. P. Sorokin and M. Tonin,Duality symmetric actions with manifest space-time symmetries,Phys. Rev. D52(1995) R4277–R4281, [hep-th/9506109]

    Pith/arXiv arXiv 1995

  16. [16]

    Pasti, D

    P. Pasti, D. P. Sorokin and M. Tonin,On Lorentz invariant actions for chiral p forms,Phys. Rev. D55(1997) 6292–6298, [hep-th/9611100]

    Pith/arXiv arXiv 1997

  17. [17]

    Mkrtchyan and F

    K. Mkrtchyan and F. Valach,Democratic actions for type II supergravities,Phys. Rev. D107 (2023) 066027, [2207.00626]

    Pith/arXiv arXiv 2023

  18. [18]

    Chakrabarti, D

    S. Chakrabarti, D. Gupta and A. Manna,On-shell action for type IIB supergravity and superstrings on AdS 5 ×S 5,Phys. Lett. B835(2022) 137578, [2211.02345]

    Pith/arXiv arXiv 2022

  19. [19]

    Lunin and J

    O. Lunin and J. M. Maldacena,Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,JHEP05(2005) 033, [hep-th/0502086]

    Pith/arXiv arXiv 2005

  20. [20]

    R. G. Leigh and M. J. Strassler,Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory,Nucl. Phys. B447(1995) 95–136, [hep-th/9503121]

    Pith/arXiv arXiv 1995

  21. [21]

    Inverso, H

    G. Inverso, H. Samtleben and M. Trigiante,Type II supergravity origin of dyonic gaugings, Phys. Rev. D95(2017) 066020, [1612.05123]

    Pith/arXiv arXiv 2017

  22. [22]

    Assel and A

    B. Assel and A. Tomasiello,Holographic duals of 3d S-fold CFTs,JHEP06(2018) 019, [1804.06419]

    Pith/arXiv arXiv 2018

  23. [23]

    Evnin, E

    O. Evnin, E. Joung and K. Mkrtchyan,Democratic Lagrangians from topological bulk,Phys. Rev. D109(2024) 066003, [2309.04625]

    Pith/arXiv arXiv 2024

  24. [24]

    Becker, M

    K. Becker, M. Becker and J. H. Schwarz,String theory and M-theory: A modern introduction. Cambridge University Press, 12, 2006, 10.1017/CBO9780511816086

    doi:10.1017/cbo9780511816086 2006

  25. [25]

    M. J. D. Hamilton,The field and Killing spinor equations of M-theory and type IIA/IIB supergravity in coordinate-free notation,1607.00327

    Pith/arXiv arXiv

  26. [26]

    Bergshoeff, H

    E. Bergshoeff, H. J. Boonstra and T. Ortin,S duality and dyonic p-brane solutions in type II string theory,Phys. Rev. D53(1996) 7206–7212, [hep-th/9508091]

    Pith/arXiv arXiv 1996

  27. [27]

    Isono,Note on the self-duality of gauge fields in topologically nontrivial spacetime,PTEP 2014(2014) 093B05, [1406.6023]

    H. Isono,Note on the self-duality of gauge fields in topologically nontrivial spacetime,PTEP 2014(2014) 093B05, [1406.6023]

    Pith/arXiv arXiv 2014

  28. [28]

    H. Lu, C. N. Pope and T. A. Tran,Five-dimensional N=4, SU(2) x U(1) gauged supergravity from type IIB,Phys. Lett. B475(2000) 261–268, [hep-th/9909203]

    Pith/arXiv arXiv 2000

  29. [29]

    Sen,Covariant Action for Type IIB Supergravity,JHEP07(2016) 017, [1511.08220]

    A. Sen,Covariant Action for Type IIB Supergravity,JHEP07(2016) 017, [1511.08220]

    Pith/arXiv arXiv 2016

  30. [30]

    Mkrtchyan,On Covariant Actions for Chiralp−Forms,JHEP12(2019) 076, [1908.01789]

    K. Mkrtchyan,On Covariant Actions for Chiralp−Forms,JHEP12(2019) 076, [1908.01789]

    Pith/arXiv arXiv 2019

  31. [31]

    Evnin and K

    O. Evnin and K. Mkrtchyan,Three approaches to chiral form interactions,Differ. Geom. Appl. 89(2023) 102016, [2207.01767]

    Pith/arXiv arXiv 2023

  32. [32]

    Sen,Self-dual forms: Action, Hamiltonian and Compactification,J

    A. Sen,Self-dual forms: Action, Hamiltonian and Compactification,J. Phys. A53(2020) 084002, [1903.12196]. – 30 –

    Pith/arXiv arXiv 2020

  33. [33]

    Sen,BV Master Action for Heterotic and Type II String Field Theories,JHEP02(2016) 087, [1508.05387]

    A. Sen,BV Master Action for Heterotic and Type II String Field Theories,JHEP02(2016) 087, [1508.05387]

    Pith/arXiv arXiv 2016

  34. [34]

    Bergshoeff, R

    E. Bergshoeff, R. Kallosh, T. Ortin, D. Roest and A. Van Proeyen,New formulations of D = 10 supersymmetry and D8 - O8 domain walls,Class. Quant. Grav.18(2001) 3359–3382, [hep-th/0103233]

    Pith/arXiv arXiv 2001

  35. [35]

    I. A. Bandos, A. J. Nurmagambetov and D. P. Sorokin,Various faces of type IIA supergravity, Nucl. Phys. B676(2004) 189–228, [hep-th/0307153]

    Pith/arXiv arXiv 2004

  36. [36]

    Bansal, O

    S. Bansal, O. Evnin and K. Mkrtchyan,Polynomial Duality-Symmetric Lagrangians for Free p-Forms,Eur. Phys. J. C81(2021) 257, [2101.02350]

    Pith/arXiv arXiv 2021

  37. [37]

    Avetisyan, O

    Z. Avetisyan, O. Evnin and K. Mkrtchyan,Democratic Lagrangians for Nonlinear Electrodynamics,Phys. Rev. Lett.127(2021) 271601, [2108.01103]

    Pith/arXiv arXiv 2021

  38. [38]

    Avetisyan, O

    Z. Avetisyan, O. Evnin and K. Mkrtchyan,Nonlinear (chiral) p-form electrodynamics,JHEP 08(2022) 112, [2205.02522]

    Pith/arXiv arXiv 2022

  39. [39]

    A. S. Arvanitakis, L. T. Cole, O. Hulik, A. Sevrin and D. C. Thompson,Unifying approaches to chiral bosons,Phys. Rev. D107(2023) 126024, [2212.11412]

    Pith/arXiv arXiv 2023

  40. [40]

    de Haro, S

    S. de Haro, S. N. Solodukhin and K. Skenderis,Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,Commun. Math. Phys.217(2001) 595–622, [hep-th/0002230]

    Pith/arXiv arXiv 2001

  41. [41]

    Skenderis,Lecture notes on holographic renormalization,Class

    K. Skenderis,Lecture notes on holographic renormalization,Class. Quant. Grav.19(2002) 5849–5876, [hep-th/0209067]

    Pith/arXiv arXiv 2002

  42. [42]

    Aharony, B

    O. Aharony, B. Kol and S. Yankielowicz,On exactly marginal deformations of N=4 SYM and type IIB supergravity on AdS(5) x S**5,JHEP06(2002) 039, [hep-th/0205090]

    Pith/arXiv arXiv 2002

  43. [43]

    J. T. Liu and B. McPeak,Gauged Supergravity from the Lunin-Maldacena background,JHEP 01(2020) 177, [1905.06861]

    Pith/arXiv arXiv 2020

  44. [44]

    D. Z. Freedman and U. Gursoy,Comments on the beta-deformed N=4 SYM theory,JHEP11 (2005) 042, [hep-th/0506128]

    Pith/arXiv arXiv 2005

  45. [45]

    Assel, D

    B. Assel, D. Cassani, L. Di Pietro, Z. Komargodski, J. Lorenzen and D. Martelli,The Casimir Energy in Curved Space and its Supersymmetric Counterpart,JHEP07(2015) 043, [1503.05537]

    Pith/arXiv arXiv 2015

  46. [46]

    Bobev, M

    N. Bobev, M. Bullimore and H.-C. Kim,Supersymmetric Casimir Energy and the Anomaly Polynomial,JHEP09(2015) 142, [1507.08553]

    Pith/arXiv arXiv 2015

  47. [47]

    Martelli and J

    D. Martelli and J. Sparks,The character of the supersymmetric Casimir energy,JHEP08 (2016) 117, [1512.02521]

    Pith/arXiv arXiv 2016

  48. [48]

    Lorenzen and D

    J. Lorenzen and D. Martelli,Comments on the Casimir energy in supersymmetric field theories, JHEP07(2015) 001, [1412.7463]

    Pith/arXiv arXiv 2015

  49. [49]

    Br¨ unner, D

    F. Br¨ unner, D. Regalado and V. P. Spiridonov,Supersymmetric Casimir energy andSL(3,Z) transformations,JHEP07(2017) 041, [1611.03831]

    Pith/arXiv arXiv 2017

  50. [50]

    Benetti Genolini, D

    P. Benetti Genolini, D. Cassani, D. Martelli and J. Sparks,The holographic supersymmetric Casimir energy,Phys. Rev. D95(2017) 021902, [1606.02724]. – 31 –

    Pith/arXiv arXiv 2017

  51. [51]

    Benetti Genolini, D

    P. Benetti Genolini, D. Cassani, D. Martelli and J. Sparks,Holographic renormalization and supersymmetry,JHEP02(2017) 132, [1612.06761]

    Pith/arXiv arXiv 2017

  52. [52]

    Giambrone, A

    A. Giambrone, A. Guarino, E. Malek, H. Samtleben, C. Sterckx and M. Trigiante,Holographic evidence for nonsupersymmetric conformal manifolds,Phys. Rev. D105(2022) 066018, [2112.11966]

    Pith/arXiv arXiv 2022

  53. [53]

    Guarino and C

    A. Guarino and C. Sterckx,Type IIB S-folds: flat deformations, holography and stability,PoS CORFU2021(2022) 163, [2204.09993]

    Pith/arXiv arXiv 2022

  54. [54]

    Guarino, C

    A. Guarino, C. Sterckx and M. Trigiante,Consistent N=4, D=4 truncation of type IIB supergravity on S1×S5,Phys. Rev. D111(2025) 046019, [2410.23149]

    Pith/arXiv arXiv 2025

  55. [55]

    Gallerati, H

    A. Gallerati, H. Samtleben and M. Trigiante,TheN>2supersymmetric AdS vacua in maximal supergravity,JHEP12(2014) 174, [1410.0711]

    Pith/arXiv arXiv 2014

  56. [56]

    D’Hoker, J

    E. D’Hoker, J. Estes and M. Gutperle,Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus,JHEP06(2007) 021, [0705.0022]

    Pith/arXiv arXiv 2007

  57. [57]

    D’Hoker, J

    E. D’Hoker, J. Estes and M. Gutperle,Exact half-BPS Type IIB interface solutions. II. Flux solutions and multi-Janus,JHEP06(2007) 022, [0705.0024]

    Pith/arXiv arXiv 2007

  58. [58]

    D’Hoker, J

    E. D’Hoker, J. Estes and M. Gutperle,Interface Yang-Mills, supersymmetry, and Janus,Nucl. Phys. B753(2006) 16–41, [hep-th/0603013]

    Pith/arXiv arXiv 2006

  59. [59]

    Gaiotto and E

    D. Gaiotto and E. Witten,Janus Configurations, Chern-Simons Couplings, And The theta-Angle in N=4 Super Yang-Mills Theory,JHEP06(2010) 097, [0804.2907]

    Pith/arXiv arXiv 2010

  60. [60]

    Assel, J

    B. Assel, J. Estes and M. Yamazaki,Large N Free Energy of 3d N=4 SCFTs andAdS 4/CF T3, JHEP09(2012) 074, [1206.2920]

    Pith/arXiv arXiv 2012

  61. [61]

    Assel, C

    B. Assel, C. Bachas, J. Estes and J. Gomis,IIB Duals of D=3 N=4 Circular Quivers,JHEP12 (2012) 044, [1210.2590]

    Pith/arXiv arXiv 2012

  62. [62]

    Bobev, F

    N. Bobev, F. F. Gautason, K. Pilch, M. Suh and J. Van Muiden,Janus and J-fold Solutions from Sasaki-Einstein Manifolds,Phys. Rev. D100(2019) 081901, [1907.11132]

    Pith/arXiv arXiv 2019

  63. [63]

    Guarino and C

    A. Guarino and C. Sterckx,S-folds and (non-)supersymmetric Janus solutions,JHEP12 (2019) 113, [1907.04177]

    Pith/arXiv arXiv 2019

  64. [64]

    Bobev, F

    N. Bobev, F. F. Gautason, K. Pilch, M. Suh and J. van Muiden,Holographic interfaces inN= 4 SYM: Janus and J-folds,JHEP05(2020) 134, [2003.09154]

    Pith/arXiv arXiv 2020

  65. [65]

    Bobev, F

    N. Bobev, F. F. Gautason and J. van Muiden,The holographic conformal manifold of 3dN= 2 S-fold SCFTs,JHEP07(2021) 221, [2104.00977]

    Pith/arXiv arXiv 2021

  66. [66]

    I. Arav, K. C. M. Cheung, J. P. Gauntlett, M. M. Roberts and C. Rosen,A new family ofAdS 4 S-folds in type IIB string theory,JHEP05(2021) 222, [2101.07264]

    Pith/arXiv arXiv 2021

  67. [67]

    Bobev, F

    N. Bobev, F. F. Gautason and J. van Muiden,The conformal manifold of S-folds in string theory,JHEP03(2024) 167, [2312.13370]

    Pith/arXiv arXiv 2024

  68. [68]

    D’Hoker, M

    E. D’Hoker, M. Gutperle, A. Karch and C. F. Uhlemann,WarpedAdS 6 ×S 2 in Type IIB supergravity I: Local solutions,JHEP08(2016) 046, [1606.01254]

    Pith/arXiv arXiv 2016

  69. [69]

    D’Hoker, M

    E. D’Hoker, M. Gutperle and C. F. Uhlemann,WarpedAdS 6 ×S 2 in Type IIB supergravity II: Global solutions and five-brane webs,JHEP05(2017) 131, [1703.08186]. – 32 –

    Pith/arXiv arXiv 2017

  70. [70]

    D’Hoker, M

    E. D’Hoker, M. Gutperle and C. F. Uhlemann,WarpedAdS 6 ×S 2 in Type IIB supergravity III: Global solutions with seven-branes,JHEP11(2017) 200, [1706.00433]

    Pith/arXiv arXiv 2017

  71. [71]

    J. Hong, J. T. Liu and D. R. Mayerson,Gauged Six-Dimensional Supergravity from Warped IIB Reductions,JHEP09(2018) 140, [1808.04301]

    Pith/arXiv arXiv 2018

  72. [72]

    Malek, H

    E. Malek, H. Samtleben and V. Vall Camell,Supersymmetric AdS 7 and AdS6 vacua and their minimal consistent truncations from exceptional field theory,Phys. Lett. B786(2018) 171–179, [1808.05597]

    Pith/arXiv arXiv 2018

  73. [73]

    I. A. Bandos, N. Berkovits and D. P. Sorokin,Duality symmetric eleven-dimensional supergravity and its coupling to M-branes,Nucl. Phys. B522(1998) 214–233, [hep-th/9711055]

    Pith/arXiv arXiv 1998

  74. [74]

    D. P. Sorokin,Coupling of M-branes in M theory, in6th International Symposium on Particles, Strings and Cosmology, pp. 697–701, 3, 1998.hep-th/9806175

    Pith/arXiv arXiv 1998

  75. [75]

    J. A. Rosabal,Holographic partition function of democratic M-theory,2512.21741

    arXiv

  76. [76]

    Beccaria and A

    M. Beccaria and A. A. Tseytlin,Comments on ABJM free energy on S3 at large N and perturbative expansions in M-theory and string theory,Nucl. Phys. B994(2023) 116286, [2306.02862]

    Pith/arXiv arXiv 2023

  77. [77]

    Beccaria, S

    M. Beccaria, S. Giombi and A. A. Tseytlin,Instanton contributions to the ABJM free energy from quantum M2 branes,JHEP10(2023) 029, [2307.14112]

    Pith/arXiv arXiv 2023

  78. [78]

    Lambert,Duality and fluxes in the sen formulation of self-dual fields,Phys

    N. Lambert,Duality and fluxes in the sen formulation of self-dual fields,Phys. Lett. B840 (2023) 137888, [2302.10955]

    Pith/arXiv arXiv 2023

  79. [79]

    C. M. Hull,Covariant action for self-dual p-form gauge fields in general spacetimes,JHEP04 (2024) 011, [2307.04748]

    Pith/arXiv arXiv 2024

  80. [80]

    Hull,A New Action for Superstring Field Theory,2508.03902

    C. Hull,A New Action for Superstring Field Theory,2508.03902

    arXiv

Showing first 80 references.