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arxiv: 2412.08689 · v2 · submitted 2024-12-11 · ✦ hep-th

The type IIA Virasoro-Shapiro amplitude in AdS₄ times CP³ from ABJM theory

Shai M. Chester , Tobias Hansen , De-liang Zhong This is my paper

Pith reviewed 2026-05-23 07:04 UTC · model grok-4.3

classification ✦ hep-th
keywords Virasoro-Shapiro amplitudeAdS4 x CP3ABJM theorycurvature correctionssuperconformal blocksmultiple polylogarithmsstring amplitudesintegrability
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The pith

The first two AdS curvature corrections to the type IIA Virasoro-Shapiro amplitude are fixed by resonance conditions from the dual ABJM stress-tensor correlator.

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

The paper determines the small-curvature expansion of graviton scattering in type IIA string theory on AdS4 times CP3, which is dual to the planar stress-tensor four-point function in ABJM theory at large 't Hooft coupling. The flat-space Virasoro-Shapiro amplitude is supplemented by curvature corrections whose coefficients are fixed by requiring that the amplitude's poles match the superconformal blocks appearing in the CFT correlator, together with an ansatz that the worldsheet expression involves single-valued multiple polylogarithms. The first correction is completely determined this way and agrees with earlier integrability and localization results; a second correction is fixed after a few extra assumptions and passes several consistency tests. The results also determine the tree-level D^4 R^4 term at finite AdS radius and supply predictions for integrability computations.

Core claim

The small-curvature expansion of the tree-level graviton scattering amplitude on AdS4 times CP3 equals the flat-space Virasoro-Shapiro amplitude plus curvature corrections whose first two terms are fixed by demanding that their resonances reproduce the superconformal block decomposition of the dual ABJM stress-tensor correlator, using a worldsheet ansatz built from single-valued multiple polylogarithms.

What carries the argument

Worldsheet ansatz in single-valued multiple polylogarithms whose coefficients are fixed by resonance matching to the superconformal block expansion of the ABJM correlator.

If this is right

  • The first curvature correction reproduces the known R^4 term at finite AdS radius previously obtained from supersymmetric localization.
  • The second curvature correction satisfies multiple non-trivial consistency checks.
  • The tree-level D^4 R^4 correction at finite AdS curvature is now determined.
  • The method supplies concrete predictions that can be tested by future integrability calculations.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same resonance-matching procedure could be applied to higher-order corrections or to other AdS string backgrounds.
  • The approach offers an alternative route to alpha-prime corrections that does not require solving the full spectral problem of integrability.
  • It suggests a direct link between worldsheet polylogarithm structures and the conformal-block data of the dual CFT.

Load-bearing premise

The worldsheet amplitude admits an expression in single-valued multiple polylogarithms, together with a small number of extra assumptions used to fix the second correction.

What would settle it

An explicit integrability computation of the second curvature correction that differs from the value obtained here would falsify the result.

read the original abstract

We consider tree level scattering of gravitons in type IIA string theory on $AdS_4\times \mathbb{CP}^3$ to all orders in $\alpha'$, which is dual to the stress tensor correlator in $U(N)_k\times U(N)_{-k}$ ABJM theory in the planar large $N$ limit and to all orders in large $\lambda\sim N/k$. The small curvature expansion of this correlator, defined via a Borel transform, is given by the flat space Virasoro-Shapiro amplitude plus AdS curvature corrections. We fix curvature corrections by demanding that their resonances are consistent with the superconformal block expansion of the correlator and with a worldsheet ansatz in terms of single-valued multiple polylogarithms. The first correction is fully fixed in this way, and matches independent results from integrability, as well as the $R^4$ correction at finite AdS curvature that was previously fixed using supersymmetric localization. We are also able to fix the second curvature correction by using a few additional assumptions, and find that it also satisfies various non-trivial consistency checks. We use our results to fix the tree level $D^4R^4$ correction at finite AdS curvature, and to give many predictions for future integrability studies.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript computes all-order α' curvature corrections to the type IIA Virasoro-Shapiro amplitude in AdS₄ × CP³, dual to the planar ABJM stress-tensor four-point function. Corrections are fixed by requiring that their resonances match the superconformal block expansion of the correlator, together with a worldsheet ansatz in single-valued multiple polylogarithms. The first correction is completely determined this way and matches independent integrability and supersymmetric localization results; the second correction is fixed using a few additional assumptions and passes consistency checks. The results are used to determine the tree-level D⁴R⁴ term at finite AdS curvature and to generate predictions for integrability studies.

Significance. If the central results hold, the work supplies a concrete method for extracting curvature corrections to flat-space string amplitudes in AdS backgrounds, with the leading correction independently verified against two external techniques. The matching with integrability and localization constitutes a non-trivial consistency check. The approach yields explicit predictions that can be tested in future integrability computations and fixes a higher-derivative correction at finite curvature.

major comments (2)
  1. [Abstract] Abstract (paragraph beginning 'We are also able to fix the second...'): The second curvature correction is obtained only after invoking 'a few additional assumptions' whose necessity is not derived from the resonance conditions or the single-valued MPL ansatz. Because the ansatz itself is introduced rather than derived from the type-IIA worldsheet or ABJM OPE data, it remains possible that a different functional basis satisfying the same resonance poles would produce a different second correction once the extra assumptions are removed. The manuscript must list these assumptions explicitly (ideally in a dedicated subsection) and demonstrate that they are required for uniqueness.
  2. [Abstract] The resonance conditions are extracted from the superconformal block expansion of the same ABJM correlator whose small-curvature expansion is being computed. While the first correction is cross-checked against external results, the dependence for the second correction should be quantified and any residual circularity addressed.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading, positive assessment of the significance, and constructive comments. We address each major comment below. We will revise the manuscript to incorporate the requested clarifications.

read point-by-point responses

  1. Referee: [Abstract] Abstract (paragraph beginning 'We are also able to fix the second...'): The second curvature correction is obtained only after invoking 'a few additional assumptions' whose necessity is not derived from the resonance conditions or the single-valued MPL ansatz. Because the ansatz itself is introduced rather than derived from the type-IIA worldsheet or ABJM OPE data, it remains possible that a different functional basis satisfying the same resonance poles would produce a different second correction once the extra assumptions are removed. The manuscript must list these assumptions explicitly (ideally in a dedicated subsection) and demonstrate that they are required for uniqueness.

    Authors: We agree that the additional assumptions required to fix the second curvature correction should be stated explicitly and their role in ensuring uniqueness clarified. In the revised version we will add a dedicated subsection (likely in Section 4 or an appendix) that enumerates each assumption, explains its origin (e.g., from crossing symmetry, single-valuedness requirements, or consistency with known flat-space limits), and demonstrates that the resonance conditions plus the single-valued MPL ansatz alone leave a finite-dimensional ambiguity that these assumptions remove. We will also show that relaxing any one assumption reintroduces undetermined coefficients, thereby establishing necessity. revision: yes

  2. Referee: [Abstract] The resonance conditions are extracted from the superconformal block expansion of the same ABJM correlator whose small-curvature expansion is being computed. While the first correction is cross-checked against external results, the dependence for the second correction should be quantified and any residual circularity addressed.

    Authors: The resonance data (pole locations and residues) are obtained from the superconformal block decomposition of the ABJM four-point function, which is determined by the spectrum and OPE coefficients of the theory; these are independent of the small-curvature expansion we compute. The first correction is fixed solely by these resonances and matches independent integrability and localization results, providing a non-circular validation. For the second correction the same resonance data are used, but supplemented by the assumptions listed in the new subsection. We will add a paragraph quantifying the dependence (i.e., how many coefficients remain free after resonances alone) and explicitly discuss the logical separation between the OPE data and the curvature expansion, thereby addressing potential circularity. revision: yes

Circularity Check

0 steps flagged

Resonance matching from block expansion introduces partial dependence but central result is independently verified

full rationale

The paper determines curvature corrections to the Virasoro-Shapiro amplitude by requiring consistency of resonances with the superconformal block expansion of the ABJM correlator and a worldsheet MPL ansatz. The first correction is stated to match independent integrability and supersymmetric localization results, supplying external validation outside the ansatz. The second correction invokes listed additional assumptions, but neither step reduces by construction to a self-definition, a renamed fit, or a load-bearing self-citation chain. The block expansion supplies CFT input rather than tautologically reproducing the target expansion, so the derivation remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 3 axioms · 0 invented entities

The central construction begins from the assumption that the small-curvature expansion of the ABJM correlator equals the flat-space Virasoro-Shapiro amplitude plus curvature corrections; the fixing procedure further assumes a worldsheet representation in single-valued multiple polylogarithms and that resonances must match the superconformal block expansion. No new particles or forces are postulated.

axioms (3)
  • domain assumption The small curvature expansion of the stress-tensor correlator is given by the flat-space Virasoro-Shapiro amplitude plus AdS curvature corrections (defined via Borel transform).
    Stated as the starting point in the abstract.
  • domain assumption Resonances of the curvature corrections must be consistent with the superconformal block expansion of the correlator.
    Used to fix the corrections; location: abstract sentence beginning 'We fix curvature corrections by demanding...'
  • ad hoc to paper The curvature corrections admit a worldsheet representation in terms of single-valued multiple polylogarithms.
    Invoked to constrain the functional form; location: abstract phrase 'with a worldsheet ansatz in terms of single-valued multiple polylogarithms'.

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Forward citations

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  2. Twisted de Rham theory for string double copy in AdS

    hep-th 2025-12 conditional novelty 8.0

    Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.

Reference graph

Works this paper leans on

54 extracted references · 54 canonical work pages · cited by 2 Pith papers · 24 internal anchors

  1. [1]

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

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  2. [2]

    Super-Poincare Covariant Quantization of the Superstring

    N. Berkovits, Super Poincare covariant quantization of the superstring , JHEP 04 (2000) 018, [hep-th/0001035]

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  3. [3]

    L. F. Alday, T. Hansen and J. A. Silva, AdS Virasoro-Shapiro from dispersive sum rules , JHEP 10 (2022) 036, [ 2204.07542]

    work page arXiv 2022

  4. [4]

    L. F. Alday, T. Hansen and J. A. Silva, AdS Virasoro-Shapiro from single-valued periods, JHEP 12 (2022) 010, [ 2209.06223]

    work page arXiv 2022

  5. [5]

    L. F. Alday, T. Hansen and J. A. Silva, Emergent Worldsheet for the AdS Virasoro-Shapiro Amplitude, Phys. Rev. Lett. 131 (2023) 161603, [ 2305.03593]

    work page arXiv 2023

  6. [6]

    L. F. Alday and T. Hansen, The AdS Virasoro-Shapiro amplitude, JHEP 10 (2023) 023, [2306.12786]

    work page arXiv 2023

  7. [7]

    Writing CFT correlation functions as AdS scattering amplitudes

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

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  8. [8]

    L. F. Alday, G. Giribet and T. Hansen, On the AdS3 Virasoro-Shapiro Amplitude, 2412.05246

    work page arXiv

  9. [9]

    L. F. Alday, S. M. Chester, T. Hansen and D.-l. Zhong, The AdS Veneziano amplitude at small curvature, JHEP 05 (2024) 322, [ 2403.13877]

    work page arXiv 2024

  10. [10]

    L. F. Alday and T. Hansen, Single-valuedness of the AdS Veneziano amplitude , JHEP 08 (2024) 108, [ 2404.16084]

    work page arXiv 2024

  11. [11]

    S. M. Chester and D.-l. Zhong, The AdS3×S3 Virasoro-Shapiro amplitude with RR flux , 2412.06429

    work page arXiv

  12. [12]

    N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

    O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals , JHEP 10 (2008) 091, [0806.1218]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  13. [13]

    S. M. Chester, S. S. Pufu and X. Yin, The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity, JHEP 08 (2018) 115, [ 1804.00949]. – 32 –

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  14. [14]

    D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades

    O. Aharony, A. Hashimoto, S. Hirano and P. Ouyang, D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades , JHEP 01 (2010) 072, [ 0906.2390]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  15. [15]

    Anomalous radius shift in AdS(4)/CFT(3)

    O. Bergman and S. Hirano, Anomalous radius shift in AdS(4)/CFT(3) , JHEP 07 (2009) 016, [0902.1743]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  16. [16]

    D. J. Binder, S. M. Chester and S. S. Pufu, AdS4/CFT3 from weak to strong string coupling , JHEP 01 (2020) 034, [ 1906.07195]

    work page arXiv 2020

  17. [17]

    D. J. Binder, S. M. Chester, M. Jerdee and S. S. Pufu, The 3d N = 6 bootstrap: from higher spins to strings to membranes , JHEP 05 (2021) 083, [ 2011.05728]

    work page arXiv 2021

  18. [18]

    Exact Slope and Interpolating Functions in ABJM Theory

    N. Gromov and G. Sizov, Exact Slope and Interpolating Functions in N=6 Supersymmetric Chern-Simons Theory, Phys. Rev. Lett. 113 (2014) 121601, [ 1403.1894]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  19. [19]

    L. F. Alday, T. Hansen and M. Nocchi, High Energy String Scattering in AdS , JHEP 02 (2024) 089, [2312.02261]

    work page arXiv 2024

  20. [20]

    Exploring the spectrum of planar $AdS_4/CFT_3$ at finite coupling

    D. Bombardelli, A. Cavagli` a, R. Conti and R. Tateo,Exploring the spectrum of planar AdS4/CFT3 at finite coupling, JHEP 04 (2018) 117, [ 1803.04748]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  21. [21]

    Review of AdS/CFT Integrability: An Overview

    N. Beisert et al., Review of AdS/CFT Integrability: An Overview , Lett. Math. Phys. 99 (2012) 3–32, [1012.3982]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  22. [22]

    Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3

    T. Klose, Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3, Lett. Math. Phys. 99 (2012) 401–423, [ 1012.3999]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  23. [23]

    On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$

    X. Zhou, On Superconformal Four-Point Mellin Amplitudes in Dimension d > 2, JHEP 08 (2018) 187, [ 1712.02800]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  24. [24]

    L. F. Alday, M. Nocchi, C. Virally and X. Zhou, On the Regge behaviour of the AdS Virasoro-Shapiro Amplitude, 2409.03695

    work page arXiv

  25. [25]

    L. F. Alday, T. Hansen and J. A. Silva, On the spectrum and structure constants of short operators in N=4 SYM at strong coupling , JHEP 08 (2023) 214, [ 2303.08834]

    work page arXiv 2023

  26. [26]

    Gromov, A

    N. Gromov, A. Hegedus, J. Julius and N. Sokolova, Fast QSC solver: tool for systematic study of N = 4 Super-Yang-Mills spectrum , JHEP 05 (2024) 185, [ 2306.12379]

    work page arXiv 2024

  27. [27]

    F. C. S. Brown, Polylogarithmes multiples uniformes en une variable , Compt. Rend. Math. 338 (2004) 527–532

    work page 2004

  28. [28]

    Duhr and F

    C. Duhr and F. Dulat, PolyLogTools — polylogs for the masses , JHEP 08 (2019) 135, [1904.07279]

    work page arXiv 2019

  29. [29]

    HyperlogProcedures, https://www.math.fau.de/person/oliver-schnetz/

    O. Schnetz, “ HyperlogProcedures, https://www.math.fau.de/person/oliver-schnetz/.”

    work page

  30. [30]

    Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

    E. Panzer, Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals, Comput. Phys. Commun. 188 (2015) 148–166, [ 1403.3385]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  31. [31]

    Vanhove and F

    P. Vanhove and F. Zerbini, Single-valued hyperlogarithms, correlation functions and closed string amplitudes, Adv. Theor. Math. Phys. 26 (2022) 455–530, [ 1812.03018]

    work page arXiv 2022

  32. [32]

    Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve

    N. Gromov, Introduction to the Spectrum of N = 4 SYM and the Quantum Spectral Curve , 1708.03648

    work page internal anchor Pith review Pith/arXiv arXiv

  33. [33]

    Levkovich-Maslyuk, A review of the AdS/CFT Quantum Spectral Curve , J

    F. Levkovich-Maslyuk, A review of the AdS/CFT Quantum Spectral Curve , J. Phys. A 53 (2020) 283004, [ 1911.13065]. – 33 –

    work page arXiv 2020

  34. [34]

    The Quantum Spectral Curve of the ABJM theory

    A. Cavagli` a, D. Fioravanti, N. Gromov and R. Tateo,Quantum Spectral Curve of the N = 6 Supersymmetric Chern-Simons Theory, Phys. Rev. Lett. 113 (2014) 021601, [ 1403.1859]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  35. [35]

    The full Quantum Spectral Curve for $AdS_4/CFT_3$

    D. Bombardelli, A. Cavagli` a, D. Fioravanti, N. Gromov and R. Tateo,The full Quantum Spectral Curve for AdS4/CF T3, JHEP 09 (2017) 140, [ 1701.00473]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  36. [36]

    R. N. Lee and A. I. Onishchenko, ABJM quantum spectral curve and Mellin transform , JHEP 05 (2018) 179, [ 1712.00412]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  37. [37]

    R. N. Lee and A. I. Onishchenko, Toward an analytic perturbative solution for the ABJM quantum spectral curve, Teor. Mat. Fiz. 198 (2019) 292–308, [ 1807.06267]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  38. [38]

    Exact Bremsstrahlung functions in ABJM theory

    L. Bianchi, M. Preti and E. Vescovi, Exact Bremsstrahlung functions in ABJM theory , JHEP 07 (2018) 060, [ 1802.07726]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  39. [39]

    P. Yang, Y. Jiang, S. Komatsu and J.-B. Wu, Three-point functions in ABJM and Bethe Ansatz, JHEP 01 (2022) 002, [ 2103.15840]

    work page arXiv 2022

  40. [40]

    Jiang, J.-B

    Y. Jiang, J.-B. Wu and P. Yang, Wilson-loop one-point functions in ABJM theory , JHEP 09 (2023) 047, [ 2306.05773]

    work page arXiv 2023

  41. [41]

    Wu and P

    J.-B. Wu and P. Yang, Three-point Functions in Aharony–Bergman–Jafferis–Maldacena Theory and Integrable Boundary States , 2408.03643

    work page arXiv

  42. [42]

    Caron-Huot, F

    S. Caron-Huot, F. Coronado, A.-K. Trinh and Z. Zahraee, Bootstrapping N = 4 sYM correlators using integrability, JHEP 02 (2023) 083, [ 2207.01615]

    work page arXiv 2023

  43. [43]

    Caron-Huot, F

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

    work page arXiv

  44. [44]

    Julius and N

    J. Julius and N. Sokolova, Conformal field theory-data analysis for N = 4 Super-Yang-Mills at strong coupling, JHEP 03 (2024) 090, [ 2310.06041]

    work page arXiv 2024

  45. [45]

    Julius and N

    J. Julius and N. S. Sokolova, Unmixing sub-leading Regge trajectories of N = 4 Super-Yang-Mills, 2409.07529

    work page arXiv

  46. [46]

    Brizio, A

    N. Brizio, A. Cavagli` a, R. Tateo and V. Tripodi,Regge trajectories and bridges between them in integrable AdS/CFT, 2410.08927

    work page arXiv

  47. [47]

    D. J. Binder, S. M. Chester and S. S. Pufu, Absence of D4R4 in M-Theory From ABJM, JHEP 04 (2020) 052, [ 1808.10554]

    work page internal anchor Pith review Pith/arXiv arXiv 2020

  48. [48]

    Instanton effects in ABJM theory with general R-charge assignments

    T. Nosaka, Instanton effects in ABJM theory with general R-charge assignments , JHEP 03 (2016) 059, [ 1512.02862]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  49. [49]

    S. M. Chester, R. R. Kalloor and A. Sharon, 3d N = 4 OPE coefficients from Fermi gas , JHEP 07 (2020) 041, [ 2004.13603]

    work page arXiv 2020

  50. [50]

    S. M. Chester, R. R. Kalloor and A. Sharon, Squashing, Mass, and Holography for 3d Sphere Free Energy, JHEP 04 (2021) 244, [ 2102.05643]

    work page arXiv 2021

  51. [51]

    S. M. Chester, AdS4/CFT3 for unprotected operators, JHEP 07 (2018) 030, [ 1803.01379]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  52. [52]

    Li, Lightcone expansions of conformal blocks in closed form , JHEP 06 (2020) 105, [1912.01168]

    W. Li, Lightcone expansions of conformal blocks in closed form , JHEP 06 (2020) 105, [1912.01168]

    work page arXiv 2020

  53. [53]

    F. A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion, Nucl. Phys. B 599 (2001) 459–496, [ hep-th/0011040]. – 34 –

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  54. [54]

    ABJM theory as a Fermi gas

    M. Marino and P. Putrov, ABJM theory as a Fermi gas , J. Stat. Mech. 1203 (2012) P03001, [1110.4066]. – 35 –

    work page internal anchor Pith review Pith/arXiv arXiv 2012