Pith. sign in

REVIEW 3 major objections 5 minor 71 references

Extremal couplings, graviton exchange, and gluon scattering in AdS

T0 review · 3 major / 5 minor · reviewed 2026-08-07 · deepseek-v4-flash

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

Pith's one-line read The paper derives a closed Mellin-space formula for graviton exchange in gluon scattering on F-theory AdS5 backgrounds, and uses it with supersymmetric localization to fix the D4 theory's ⟨2222⟩ correlator completely at order 1/N².

desk verdict A strong top-down computation of extremal bulk couplings and graviton exchange in F-theory AdS/CFT, with a real but narrow derivation gap in the resummation that likely does not change the answer. read the letter →

arxiv 2505.23948 v2 pith:6HCYZC6R submitted 2025-05-29 hep-th

Shai M. Chester , Rishi Mouland , Jesse van Muiden This is my paper
classification hep-th
keywords AdS/CFTextremalcouplingsgravitonexchangegluonKKmodesF-theorysupersymmetriclocalizationMellinamplitudesoperatormixing
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

Extremal cubic couplings—those whose dimensions satisfy Δ_i = Δ_j + Δ_k + 2a—make naive three-point Witten diagrams diverge and were previously known to vanish in maximally supersymmetric examples. This paper shows that in the F-theory AdS5 backgrounds dual to 4d N=2 SCFTs, an infinite set of such (super-)extremal couplings between gluon modes on sevenbranes and graviton KK modes are nonzero, and that their exchange diagrams sum to a finite closed expression. The graviton-exchange term so obtained completes the gluon correlator ⟨22pp⟩ at order 1/N², and is verified by matching its flat-space limit to the 8d tree-level graviton amplitude. For the D4 gauge theory the new term, together with supersymmetric localization, fixes the ⟨2222⟩ correlator completely at order 1/N², including the τ-independent part that previous work could not determine. A sympathetic reader would care because this removes a missing loop-order contribution from every correlator in this class and shows how divergent extremal couplings are resolved by operator mixing.

What carries the argument

The load-bearing object is the bulk cubic coupling $\beta_{pqk_r}$ between two gluon KK modes and a graviton KK mode, computed by expanding the DBI and Wess–Zumino actions of the sevenbranes, canonically normalizing all fields, and integrating over the internal $S^5/S^3$ geometry. Its explicit form (2.28) is a ratio of Gamma functions with the selection rule $r=|p-q|+2, |p-q|+4, \ldots, p+q-2$, and it vanishes in the half-BPS endpoint of the extremal range; the nonzero couplings are precisely the (super-)extremal ones that make naive three-point Witten diagrams diverge. Substituting this coupling into the three-point dictionary and into the scalar-exchange block sums gives the divergent double-sum representation (3.24); the closed Mellin amplitude (1.3) is the function with the same poles and large-$s,t,u$ growth. The second mechanism is the mixing matrix $M_n$ of Section 3.3: the extremal couplings force the double-trace gluon operators $:\!\phi^A_p \square^{n-p}\phi^A_p\!:$ to mix with the single-trace graviton operator $\rho_{2n}$, and the four-point computation supplies the off-diagonal entries of $M_n$, converting divergent three-point functions into finite leading anomalous dimensions of the unmixed operators.

What would settle it

Take the regularized double sum (3.24) for a specific value such as $p=4$, evaluate it with an explicit regulator on the $m$ and $k$ sums at generic complex $s,t,u$, and check that it equals the closed form (1.3) up to a constant independent of $s,t,u$; any $s,t,u$-dependent remainder would show that the graviton-exchange term is not uniquely determined for general $p$. A complementary test is an independent computation of the $D_4$ $\langle 2222 \rangle$ correlator at order $1/N^2$ that checks the $\tau$-independent part of $A_{F^4}$ predicted in (3.61).

Watch

Extended reading notes

Core claim

On the paper's own terms, the central discovery is that graviton exchange in gluon scattering on AdS$_5 \times S^3$, naively an infinite sum of exchange diagrams over the whole tower of KK graviton modes, sums to a single closed Mellin-space amplitude. For the correlator $\langle 22pp \rangle$ of the gluon superprimaries of dimensions $2$ and $p$, this amplitude reads $$M_R = -\frac{p}{(p-2)!\$\Delta$}\left[\left((p+1)H_1 - \frac{s}{2} + \frac{4}{s-2}\right)\$delta^{{AB}}$\$delta^{{CD}}$ + \left((p+1)H_2 + \frac{p-u}{2} + \frac{2p}{u-p}\right)\$delta^{{AC}}$\$delta^{{BD}}$ + \left((p+1)H_2 + \frac{p-t}{2} + \frac{2p}{t-p}\right)\$delta^{{AD}}$\$delta^{{BC}}$\right],$$ with $H_x$ the relevant harmonic series. Each channel contains the simple pole expected from the exchanged tower, at $s=2$ in the direct channel and at $u=p$ or $t=p$ in the crossed channels. The coefficients are fixed by the nonzero (super-)extremal bulk couplings $\beta_{pqk_r}$ computed from the sevenbrane action, and the closed form is checked by matching the poles and large-$s,t,u$ growth of the regularized double sum and by matching its flat-space limit to the independent 8d graviton-exchange amplitude. In the $D_4$ theory the new term supplies the missing ingredient that lets supersymmetric localization fix the contact term $M_{F^4}$ completely, including its $\tau$-independent part, so the $\langle 2222 \rangle$ correlator is fully determined at order $1/N^2$.

Load-bearing premise

The argument assumes that the divergence of the double sums in (3.24) is only an $s,t,u$-independent constant that can be absorbed into the contact term $M_{F^4}$; if the regularization produced a polynomial remainder in $s,t,u$, the closed form (1.3) would not be determined uniquely, though the $D_4$ localization constraints would still fix the $p=2$ combination.

Editorial extensions

If this is right

  • The graviton-exchange term $M_R$ is now known in closed form for every $p$ in $\langle 22pp \rangle$, so the full correlator at order $1/N^2$ is determined once the gluon one-loop and contact terms are fixed for that $p$.
  • The flat-space limit of $M_R$ reproduces the 8d tree-level graviton exchange amplitude, confirming that the exchanged graviton propagates in the full 10d spacetime and that the infinite KK tower is needed for the correct logarithmic $s,t,u$ behaviour.
  • For the $D_4$ theory with $p=2$, the $\langle 2222 \rangle$ correlator is completely fixed at order $1/N^2$, and all unambiguous twist-four anomalous dimensions in (3.62)-(3.64) become predictions that can be compared with other methods.
  • The unmixing of graviton modes with gluon double traces gives finite leading anomalous dimensions and OPE coefficients in (3.42)-(3.43) for twist four and six, resolving the divergence of the extremal three-point diagrams.
  • The paper's data at twist $2n$ in principle suffice to unmix the leading CFT data for generic $n$, because the required gluon-exchange data for $\langle ppqq \rangle$ were already known.

Reading between the lines

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

  • Extension: the same bulk-coupling computation should supply graviton exchange for the more general correlators $\langle ppqq \rangle$ once the one-loop gluon terms are computed for arbitrary $p,q$, a step the paper leaves open.
  • Extension: in gluon scattering on AdS$_{d+1}\times S^3$ for $d=3,5,6$, the graviton exchange term is the leading $1/N^2$ correction (or competes with two-loop gluon exchange for $d=3$), so the machinery developed here gives a template for unambiguous CFT data in those cases.
  • Extension: the explicit mixing matrices for twist four and six suggest that for generic twist $2n$ the leading spectrum comes from diagonalising an $n\times n$ matrix $M_n$ assembled from gluon and graviton exchange data; a closed-form-in-$n$ result may be derivable.
  • Extension: because the flat-space graviton amplitude is sensitive to the compact $S^3$ directions, precision numerical bootstrap bounds on these 4d $\mathcal{N}=2$ SCFTs could independently check the predicted $1/N^2$ anomalous dimensions.
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.

Referee Report

3 major / 5 minor

Summary. The paper studies extremal and super-extremal cubic couplings between gluon KK modes and graviton KK modes in F-theory AdS5 backgrounds, using the DBI/WZ action on the seven-branes. It then uses these couplings to compute the graviton-exchange contribution M_R to the holographic gluon correlator <22pp>, obtaining the closed Mellin-space formula (1.3). The authors use M_R to unmix single-trace graviton modes from double-trace gluon operators, thereby giving a finite interpretation of the divergent extremal Witten diagrams. For the D4 theory with p=2, they combine the new M_R with supersymmetric localization constraints to fix the full correlator at order 1/N^2 and extract CFT data and a flat-space prediction for A_F4.

Significance. If the central formula (1.3) is established, the paper makes a substantial contribution: it provides the first concrete top-down example with non-vanishing extremal couplings, shows that an infinite tower of graviton exchanges contributes at the same order as gluon loops, and explains the associated single-trace/double-trace mixing. The bulk-coupling computation in Appendix A is detailed and passes a nontrivial consistency check: the stress-tensor OPE coefficient (2.30) matches the known result. The D4 specialization is especially valuable because the localization constraints (3.51)-(3.58) fix the total 1/N^2 correlator, so the p=2 consequences survive even if the general-p separation of M_R from M_F4 is convention-dependent. The flat-space comparison with [24] and the matching of the off-diagonal mixing matrix with [12] are additional checks. The main weakness is that the passage from the divergent sums (3.24) to the closed form (1.3) is not derived, only checked by pole and growth matching.

major comments (3)
  1. [Section 3.2, Eq. (3.24) to Eq. (1.3)] The central claim that the graviton exchange Mellin amplitude equals the closed form (1.3) is not established. The double sums in (3.24) are never explicitly regularized or resummed. The statement that 'the divergence is just a constant that can be absorbed into the definition of the contact term M_F4' is asserted, but no uniqueness argument is given for the polynomial remainder. The subsequent sentence, 'We can regularize this divergence by checking that our final closed form answer (1.3) has the same poles... and the same growth,' is a consistency check, not a derivation. Without an explicit resummation or a proof that the sums are determined up to a constant by their pole data and large-s,t,u growth, the advertised determination of M_R for general p is conditional.
  2. [Section 3.2, Eqs. (3.25)-(3.31)] The flat-space match to A_R from [24] cannot resolve the contact-term ambiguity. Under the flat-space limit formula (3.26), a polynomial ambiguity in s,t,u maps to a polynomial in the flat-space Mandelstam variables, which is precisely the ambiguity that can be absorbed into A_F4 in (3.25). Therefore the match only checks the pole residues and the logarithmic growth, not the overall normalization of the contact-term-free part of M_R. For general p, only the residues of M_R, i.e. the exchanged graviton OPE data, are fixed by the summands in (3.24); the closed form (1.3) represents a particular subtraction prescription.
  3. [Section 3.4, Eqs. (3.51)-(3.58)] The D4 p=2 result is robust despite the general-p gap because the localization constraints (3.51)-(3.58) fix the total correlator at order 1/N^2, including the contact-term coefficients b^i_F4. However, the paper should explicitly state that this robustness does not extend to general p: for p>2, the separation of M_R from the unknown M_F4 coefficients in (1.2) is convention-dependent unless the regularization of (3.24) is supplied. I would like the authors either to provide the missing derivation or to reframe the general-p claim as fixing only the residues and the p=2 combination.
minor comments (5)
  1. [Abstract] The abstract contains a grammatical error: 'such coupling are non-zero' should read 'such couplings are non-zero'.
  2. [Section 3.4, Eq. (3.60)] In (3.60), the coefficient of t7 is written as a^1_F4, but the definitions in (3.61) strongly suggest this should be a^3_F4.
  3. [Section 3.3, footnote 22] The phrase 'the holographically renormalised result (3.25) of [12]' is confusing, because (3.25) in this paper is a different flat-space amplitude. The reference should cite the equation number in [12] explicitly.
  4. [Section 3.2, Eq. (3.14) and Eq. (3.15)] For the 1-loop gluon term, the regularized expression (3.15) is presented only for p=2, and the relation of (3.15) to the divergent sums (3.14) is not explained. A brief statement about the subtraction scheme would improve reproducibility.
  5. [Section 3.2, Eq. (3.24)] In (3.24), the 'crossed expressions from the <2p2p> configuration' are not written out explicitly. Since these are needed to reproduce the t- and u-channel sums, writing them out would make the computation more transparent.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity: the bulk couplings are computed from the DBI/WZ action rather than fitted to CFT data, and the flat-space benchmark from a shared-author paper is used only as a check, not as an input.

full rationale

The derivation chain is self-contained. The bulk couplings β_pqkr in (2.28) are obtained by reducing the type IIB supergravity action (2.5) and the D7 DBI/WZ action (2.6), expanding in KK harmonics, and canonically normalizing the fields; no CFT correlator data are used to fit them. The graviton-exchange Mellin amplitude (1.3) is assembled from these couplings through the exchange sums (3.21)-(3.24), and the closed form is checked by requiring the same poles and large-s,t,u growth as the divergent sums, with any constant ambiguity explicitly assigned to the contact term M_F4. No parameter in (1.3) is fixed by the ⟨22pp⟩ correlator being predicted. The flat-space amplitude A_R in (3.31) is imported from [24], which shares an author with the present paper, but it is used only as a post hoc cross-check of the flat-space limit of (1.3); it is not an input to the derivation. The D4 localization constraints (3.51)-(3.58) are independent external data from the mass-deformed sphere free energy, and they fix the p=2 contact coefficients, so the τ-independent part of A_F4 is a genuine prediction rather than a redefinition. The only caveat is a derivation gap, not circularity: the divergent double sums in (3.24) are never explicitly resummed, and the assertion that poles plus growth determine (1.3) up to an M_F4-absorbable constant is stated rather than proven. This leaves a possible polynomial ambiguity for general p, but it does not make the claimed result equivalent to its input by construction; the p=2 combination remains pinned by localization. Score 2 reflects the one minor shared-author citation, which is not load-bearing.

Assumptions & free parameters 0 free parameters · 8 assumptions · 0 invented entities

No numbers are fitted to data or chosen ad hoc. The theory label Δ and the axio-dilaton τ are inputs from the F-theory classification, not fitted. The contact-term subtraction constants are conventional and their ambiguity is fixed by localization for the D4 case. The axioms are standard string theory background assumptions and standard mathematics; no new entities are introduced.

assumptions (8)
  • domain assumption At large N, the low-energy bulk theory is type IIB supergravity on AdS5 × S5/Δ with 7-branes, described by SIIB in (2.5) plus the DBI/WZ action (2.6).
    Standard F-theory AdS/CFT background; used throughout Section 2.
  • domain assumption The scalar graviton KK modes s_{kp} are dual to scalar superconformal primaries, with diagonalized equations of motion (2.19) from [57].
    Relies on the known S5 spectrum and the orbifold projection; Section 2.2.
  • domain assumption The DBI/WZ action (2.22) truncated to the displayed terms captures the gluon masses and cubic gluon-gluon-graviton couplings at leading order.
    Core input for computing β_{pqk_r}; Section 2.2 and Appendix A.
  • domain assumption The analytic bootstrap expansion (1.2) with the listed structures is complete for ⟨22pp⟩ at order 1/N².
    From [19-21,23,24]; used as the framework for identifying M_R and M_{F4}.
  • domain assumption Extremal coupling divergences are resolved by mixing single-trace graviton modes with double-trace gluon operators as in [12].
    The unmixing procedure in Section 3.3 and Appendix B relies on this mechanism.
  • domain assumption The supersymmetric localization results (3.55) for the mass-deformed sphere free energy are correct.
    Used to fix the D4 contact terms in Section 3.4; taken from [23,66].
  • standard math The flat space limit formula (3.26) correctly converts Mellin amplitudes to flat space amplitudes.
    Standard result [25]; used for the flat space checks.
  • standard math Hypergeometric identities and spherical harmonic integrals used in Appendix A are standard mathematical facts.
    Used to evaluate the overlaps in the cubic coupling computation.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Extremal couplings, graviton exchange, and gluon scattering in AdS." pith.science (2026). https://pith.science/paper/6HCYZC6R

@misc{pith2026250523948,
  author       = {Pith},
  title        = {Pith review of: Extremal couplings, graviton exchange, and gluon scattering in AdS},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/6HCYZC6R}},
  note         = {Machine review of arXiv:2505.23948}
}
abstract

Extremal cubic couplings in AdS relate bulk fields such that $\Delta_i+\Delta_j=\Delta_k$. Such couplings lead to divergent 3-point Witten diagrams, and do not occur in theories with maximal supersymmetry. We consider the simplest theories where such coupling are non-zero, which is type IIB string theory with $N$ D3 branes probing various configurations of sevenbranes, which are dual to certain 4d $\mathcal{N}=2$ SCFTs. At large $N$, the low energy effective theory is supergravity on $AdS_5\times S^5$ with a singularity, whose fixed point locus is $AdS_5\times S^3$. These theories have infinite towers of graviton modes, as well as gluon modes on the sevenbranes. We compute the nonzero coupling between these modes, which is in general (super)-extremal. We use these couplings to compute the graviton exchange term in the holographic correlator of gluon KK modes $\langle22pp\rangle$, which appears at the same order $1/N^2$ as 1-loop gluon exchange, and receives contributions from a whole tower of graviton modes. We use this graviton exchange term to compute the unmixing of the single trace graviton modes with double traces of gluon modes, which explains the divergent 3-point diagrams. Finally, for $\langle 2222\rangle$ for the simplest 4d $\mathcal{N}=2$ gauge theory, we use supersymmetric localization and the new graviton exchange term to completely fix the correlator at order $1/N^2$.

Figures

Figures reproduced from arXiv: 2505.23948 by the authors.

Figure 1
Figure 1. Witten diagrams for the cubic interactions between three scalars. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗

Discussion (0). Sign in to comment.

Reference graph

Works this paper leans on

71 extracted references · 10 canonical work pages

  1. [24]

    Behan, S

    C. Behan, S. M. Chester and P. Ferrero,Towards bootstrapping F-theory,JHEP10 (2024) 161 [2403.17049]

    work page arXiv 2024

  2. [12]

    Castro and P

    A. Castro and P. J. Martinez,Revisiting extremal couplings in AdS/CFT,JHEP12 (2024) 157 [2409.15410]. 44

    arXiv 2024

  3. [1]

    J. M. Maldacena,The LargeNlimit of superconformal field theories and supergravity, Int. J. Theor. Phys.38(1999) 1113 [hep-th/9711200]

    arXiv 1999

  4. [2]

    Witten,Anti-de Sitter space and holography,Adv

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

    arXiv 1998

  5. [3]

    D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli,Correlation functions in the CFT(d)/AdS(d+1) correspondence,Nucl. Phys.B546(1999) 96 [hep-th/9804058]

    arXiv 1999

  6. [4]

    S. Lee, S. Minwalla, M. Rangamani and N. Seiberg,Three point functions of chiral operators in D = 4, N=4 SYM at large N,Adv. Theor. Math. Phys.2(1998) 697 [hep-th/9806074]

    arXiv 1998

  7. [5]

    D’Hoker and D

    E. D’Hoker and D. Z. Freedman,General scalar exchange inAdS d+1,Nucl. Phys. B550(1999) 261 [hep-th/9811257]

    arXiv 1999

  8. [6]

    Dilaton - fixed scalar correlators and AdS_5 x S^5 - SYM correspondence

    H. Liu and A. A. Tseytlin,Dilaton - fixed scalar correlators and AdS(5) x S**5 - SYM correspondence,JHEP10(1999) 003 [hep-th/9906151]

    work page Pith review arXiv 1999

Show all 71 references
  1. [7]

    D’Hoker, D

    E. D’Hoker, D. Z. Freedman, S. D. Mathur, A. Matusis and L. Rastelli,Extremal correlators in the AdS / CFT correspondence,hep-th/9908160

    arXiv

  2. [8]

    Aprile, J

    F. Aprile, J. M. Drummond, P. Heslop, H. Paul, F. Sanfilippo, M. Santagata et al., Single particle operators and their correlators in freeN= 4 SYM,JHEP11(2020) 072 [2007.09395]

    2020 arXiv

  3. [9]

    Aprile, J

    F. Aprile, J. Drummond, P. Heslop and H. Paul,Double-trace spectrum ofN= 4 supersymmetric Yang-Mills theory at strong coupling,Phys. Rev.D98(2018) 126008 [1802.06889]

    2018 arXiv

  4. [10]

    Arutyunov and S

    G. Arutyunov and S. Frolov,Four point functions of lowest weight CPOs in N=4 SYM(4) in supergravity approximation,Phys. Rev.D62(2000) 064016 [hep-th/0002170]

    2000 arXiv

  5. [11]

    Bobev and H

    N. Bobev and H. Paul,Holographic Correlators Beyond Maximal Supersymmetry, 2505.20400

  6. [13]

    Sen,F theory and orientifolds,Nucl

    A. Sen,F theory and orientifolds,Nucl. Phys. B475(1996) 562 [hep-th/9605150]

    1996 arXiv

  7. [14]

    Dasgupta and S

    K. Dasgupta and S. Mukhi,F theory at constant coupling,Phys. Lett. B385(1996) 125 [hep-th/9606044]

    1996 arXiv

  8. [15]

    Fayyazuddin and M

    A. Fayyazuddin and M. Spalinski,Large N superconformal gauge theories and supergravity orientifolds,Nucl. Phys. B535(1998) 219 [hep-th/9805096]

    1998 arXiv

  9. [16]

    Aharony, A

    O. Aharony, A. Fayyazuddin and J. M. Maldacena,The Large N limit of N=2, N=1 field theories from three-branes in F theory,JHEP07(1998) 013 [hep-th/9806159]

    1998 arXiv

  10. [17]

    Aharony and Y

    O. Aharony and Y. Tachikawa,A Holographic computation of the central charges of d=4, N=2 SCFTs,JHEP01(2008) 037 [0711.4532]

    2008 arXiv

  11. [18]

    S. M. Chester, P. Ferrero and D. R. Pavarini,Modular invariant gluon-graviton scattering in AdS at one loop,2504.10319

    arXiv

  12. [19]

    Rastelli and X

    L. Rastelli and X. Zhou,How to Succeed at Holographic Correlators Without Really Trying,JHEP04(2018) 014 [1710.05923]

    2018 arXiv

  13. [20]

    L. F. Alday, C. Behan, P. Ferrero and X. Zhou,Gluon Scattering in AdS from CFT, JHEP06(2021) 020 [2103.15830]

    2021 arXiv

  14. [21]

    L. F. Alday, A. Bissi and X. Zhou,One-loop Gluon Amplitudes in AdS,2110.09861

    arXiv

  15. [22]

    Aharony, L

    O. Aharony, L. F. Alday, A. Bissi and E. Perlmutter,Loops in AdS from Conformal Field Theory,JHEP07(2017) 036 [1612.03891]

    2017 arXiv

  16. [23]

    Behan, S

    C. Behan, S. M. Chester and P. Ferrero,Gluon scattering in AdS at finite string coupling from localization,JHEP02(2024) 042 [2305.01016]

    2024

  17. [25]

    Penedones,Writing CFT correlation functions as AdS scattering amplitudes,JHEP 03(2011) 025 [1011.1485]

    J. Penedones,Writing CFT correlation functions as AdS scattering amplitudes,JHEP 03(2011) 025 [1011.1485]

    2011 arXiv

  18. [26]

    S. M. Chester,Bootstrapping 4dN= 2 gauge theories: the case of SQCD,JHEP01 (2023) 107 [2205.12978]

    2023 arXiv

  19. [27]

    D. J. Binder, S. M. Chester, S. S. Pufu and Y. Wang,N= 4 Super-Yang-Mills 45 correlators at strong coupling from string theory and localization,JHEP12(2019) 119 [1902.06263]

    2019 arXiv

  20. [28]

    D. J. Binder, S. M. Chester and M. Jerdee,ABJ Correlators with Weakly Broken Higher Spin Symmetry,JHEP04(2021) 242 [2103.01969]

    2021 arXiv

  21. [29]

    L. F. Alday, S. M. Chester and H. Raj,ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion,2107.10274

    arXiv

  22. [30]

    D. J. Binder, S. M. Chester and S. S. Pufu,Absence ofD 4R4 in M-Theory From ABJM,JHEP04(2020) 052 [1808.10554]

    2020 arXiv

  23. [31]

    D. J. Binder, S. M. Chester and S. S. Pufu,AdS 4/CFT3 from weak to strong string coupling,JHEP01(2020) 034 [1906.07195]

    2020 arXiv

  24. [32]

    S. M. Chester, S. S. Pufu, Y. Wang and X. Yin,Bootstrapping M-theory Orbifolds, 2312.13112

  25. [33]

    S. M. Chester, R. Dempsey and S. S. Pufu,BootstrappingN= 4super-Yang-Mills on the conformal manifold,2111.07989

    arXiv

  26. [34]

    S. M. Chester and S. S. Pufu,Far beyond the planar limit in strongly-coupledN= 4 SYM,JHEP01(2021) 103 [2003.08412]

    2021 arXiv

  27. [35]

    S. M. Chester,Genus-2 holographic correlator on AdS 5×S 5 from localization,JHEP 04(2020) 193 [1908.05247]

    2020 arXiv

  28. [36]

    S. M. Chester, M. B. Green, S. S. Pufu, Y. Wang and C. Wen,Modular invariance in superstring theory fromN= 4 super-Yang-Mills,JHEP11(2020) 016 [1912.13365]

    2020 arXiv

  29. [37]

    L. F. Alday, S. M. Chester and T. Hansen,Modular invariant holographic correlators forN= 4 SYM with general gauge group,JHEP12(2021) 159 [2110.13106]

    2021 arXiv

  30. [38]

    L. F. Alday, S. M. Chester and H. Raj,M-theory on AdS 4×S 7 at 1-loop and beyond, JHEP11(2022) 091 [2207.11138]

    2022 arXiv

  31. [39]

    S. M. Chester, R. Dempsey and S. S. Pufu,Higher-derivative corrections in M-theory from precision numerical bootstrap,2412.14094

    arXiv

  32. [40]

    S. M. Chester, T. Hansen and D.-l. Zhong,The type IIA Virasoro-Shapiro amplitude in AdS4×CP 3 from ABJM theory,2412.08689. 46

    arXiv

  33. [41]

    L. F. Alday, S. M. Chester, T. Hansen and D.-l. Zhong,The AdS Veneziano amplitude at small curvature,JHEP05(2024) 322 [2403.13877]

    2024

  34. [42]

    S. M. Chester, R. Dempsey and S. S. Pufu,Level repulsion inN= 4 super-Yang-Mills via integrability, holography, and the bootstrap,JHEP07(2024) 059 [2312.12576]

    2024 arXiv

  35. [43]

    L. F. Alday, S. M. Chester, D. Dorigoni, M. B. Green and C. Wen,Relations between integrated correlators inN= 4 supersymmetric Yang-Mills theory,JHEP05(2024) 044 [2310.12322]

    2024 arXiv

  36. [44]

    Dempsey, B

    R. Dempsey, B. Offertaler, S. S. Pufu and Y. Wang,Global Symmetry and Integral Constraint on Superconformal Lines in Four Dimensions,2405.10914

    arXiv

  37. [45]

    Billo’, F

    M. Billo’, F. Galvagno, M. Frau and A. Lerda,Integrated correlators with a Wilson line inN= 4 SYM,JHEP12(2023) 047 [2308.16575]

    2023 arXiv

  38. [46]

    Brown, F

    A. Brown, F. Galvagno and C. Wen,All-loop Heavy-Heavy-Light-Light correlators in N= 4 super Yang-Mills theory,JHEP10(2024) 171 [2407.02250]

    2024 arXiv

  39. [47]

    L. F. Alday and X. Zhou,Flat-space limit of defect correlators and stringy AdS form factors,JHEP03(2025) 182 [2411.04378]

    2025 arXiv

  40. [48]

    Cavagli` a, N

    A. Cavagli` a, N. Gromov and M. Preti,Computing four-point functions with integrability, bootstrap and parity symmetry,JHEP02(2025) 026 [2312.11604]

    2025 arXiv

  41. [49]

    Cavagli` a, N

    A. Cavagli` a, N. Gromov, J. Julius and M. Preti,Bootstrability in defect CFT: integrated correlators and sharper bounds,JHEP05(2022) 164 [2203.09556]

    2022 arXiv

  42. [50]

    Caron-Huot, F

    S. Caron-Huot, F. Coronado and Z. Zahraee,BootstrappingN= 4sYM correlators using Integrability and Localization,2412.00249

    arXiv

  43. [51]

    Kiritsis, N

    E. Kiritsis, N. A. Obers and B. Pioline,Heterotic / type II triality and instantons on K(3),JHEP01(2000) 029 [hep-th/0001083]

    2000 arXiv

  44. [52]

    D. R. Morrison and C. Vafa,Compactifications of F theory on Calabi-Yau threefolds. 1,Nucl. Phys. B473(1996) 74 [hep-th/9602114]

    1996 arXiv

  45. [53]

    D. R. Morrison and C. Vafa,Compactifications of F theory on Calabi-Yau threefolds. 2.,Nucl. Phys. B476(1996) 437 [hep-th/9603161]

    1996 arXiv

  46. [54]

    Vafa,Evidence for F theory,Nucl

    C. Vafa,Evidence for F theory,Nucl. Phys. B469(1996) 403 [hep-th/9602022]. 47

    1996 arXiv

  47. [55]

    Liu and A

    H. Liu and A. A. Tseytlin,D = 4 superYang-Mills, D = 5 gauged supergravity, and D = 4 conformal supergravity,Nucl. Phys. B533(1998) 88 [hep-th/9804083]

    1998 arXiv

  48. [56]

    Penedones,TASI lectures on AdS/CFT., inTheoretical Advanced Study Institute in Elementary Particle Physics: New Frontiers in Fields and Strings, pp

    J. Penedones,TASI lectures on AdS/CFT., inTheoretical Advanced Study Institute in Elementary Particle Physics: New Frontiers in Fields and Strings, pp. 75–136, 2017, 1608.04948, DOI

    2017 arXiv

  49. [57]

    H. J. Kim, L. J. Romans and P. van Nieuwenhuizen,The Mass Spectrum of Chiral N=2 D=10 Supergravity on S**5,Phys. Rev. D32(1985) 389

    1985

  50. [58]

    G. E. Arutyunov and S. A. Frolov,Quadratic action for Type IIB supergravity on AdS(5) x S**5,JHEP08(1999) 024 [hep-th/9811106]

    1999 arXiv

  51. [59]

    Kruczenski, D

    M. Kruczenski, D. Mateos, R. C. Myers and D. J. Winters,Meson spectroscopy in AdS / CFT with flavor,JHEP07(2003) 049 [hep-th/0304032]

    2003 arXiv

  52. [60]

    Chang and Y.-H

    C.-M. Chang and Y.-H. Lin,Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions),JHEP08(2017) 128 [1705.05392]

    2017 arXiv

  53. [61]

    Huang, B

    Z. Huang, B. Wang, E. Y. Yuan and X. Zhou,Simplicity of AdS super Yang-Mills at one loop,JHEP01(2024) 190 [2309.14413]

    2024 arXiv

  54. [62]

    Dolan and H

    F. Dolan and H. Osborn,Superconformal symmetry, correlation functions and the operator product expansion,Nucl.Phys.B629(2002) 3 [hep-th/0112251]

    2002 arXiv

  55. [63]

    C. Beem, M. Lemos, P. Liendo, W. Peelaers, L. Rastelli and B. C. van Rees,Infinite Chiral Symmetry in Four Dimensions,Commun. Math. Phys.336(2015) 1359 [1312.5344]

    2015 arXiv

  56. [64]

    J. M. Drummond, R. Glew and M. Santagata,Bern-Carrasco-Johansson relations in AdS5×S3 and the double-trace spectrum of super gluons,Phys. Rev. D107(2023) L081901 [2202.09837]

    2023 arXiv

  57. [65]

    Seiberg and E

    N. Seiberg and E. Witten,Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD,Nucl. Phys. B431(1994) 484 [hep-th/9408099]

    1994 arXiv

  58. [66]

    Beccaria, G

    M. Beccaria, G. P. Korchemsky and A. A. Tseytlin,Exact strong coupling results inN = 2 Sp(2N) superconformal gauge theory from localization,JHEP01(2023) 037 [2210.13871]. 48

    2023 arXiv

  59. [67]

    S. M. Chester,AdS 4/CFT3 for unprotected operators,JHEP07(2018) 030 [1803.01379]

    2018 arXiv

  60. [68]

    Huang, B

    Z. Huang, B. Wang, E. Y. Yuan and X. Zhou,AdS super gluon scattering up to two loops: A position space approach,2301.13240

    arXiv

  61. [69]

    L. F. Alday and S. M. Chester,Pure Anti-de Sitter Supergravity and the Conformal Bootstrap,Phys. Rev. Lett.129(2022) 211601 [2207.05085]

    2022 arXiv

  62. [70]

    Mikhailov,Notes on higher spin symmetries,hep-th/0201019

    A. Mikhailov,Notes on higher spin symmetries,hep-th/0201019

    arXiv

  63. [71]

    A. L. Fitzpatrick and J. Kaplan,Unitarity and the Holographic S-Matrix,JHEP10 (2012) 032 [1112.4845]. 49

    2012 arXiv

Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.