Higher-derivative corrections in M-theory from precision numerical bootstrap

Shai M. Chester; Ross Dempsey; Silviu S. Pufu

doi:10.1007/JHEP07(2025)096

Higher-derivative corrections in M-theory from precision numerical bootstrap

Shai M. Chester, Ross Dempsey, Silviu S. Pufu

Physics

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3 Scopus citations

Abstract

We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d N = 8 U(N)_k × U(N)_–k ABJM theory (dual to graviton scattering in M-theory on AdS₄ × S⁷/ℤ_k). We use the conformal bootstrap combined with an integral constraint derived from supersymmetric localization in order to constrain semishort OPE coefficients appearing in the stress tensor correlator. We obtain islands that are significantly more precise than those in previous studies that did not use the integral constraint. Using these islands, we can estimate the powers and coefficients in a large central charge expansion. This allows us to accurately read off the N³LO contribution, from the protected D⁶R⁴ correction, and also estimate the N⁴LO contribution, from the unprotected D⁸R⁴ correction.

Original language	English (US)
Article number	96
Journal	Journal of High Energy Physics
Volume	2025
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2025)096
State	Published - Jul 2025

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

AdS-CFT Correspondence
Conformal and W Symmetry
Extended Supersymmetry
M-Theory

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10.1007/JHEP07(2025)096

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title = "Higher-derivative corrections in M-theory from precision numerical bootstrap",

abstract = "We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d N = 8 U(N)k × U(N)–k ABJM theory (dual to graviton scattering in M-theory on AdS4 × S7/ℤk). We use the conformal bootstrap combined with an integral constraint derived from supersymmetric localization in order to constrain semishort OPE coefficients appearing in the stress tensor correlator. We obtain islands that are significantly more precise than those in previous studies that did not use the integral constraint. Using these islands, we can estimate the powers and coefficients in a large central charge expansion. This allows us to accurately read off the N3LO contribution, from the protected D6R4 correction, and also estimate the N4LO contribution, from the unprotected D8R4 correction.",

keywords = "AdS-CFT Correspondence, Conformal and W Symmetry, Extended Supersymmetry, M-Theory",

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doi = "10.1007/JHEP07(2025)096",

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T1 - Higher-derivative corrections in M-theory from precision numerical bootstrap

AU - Chester, Shai M.

AU - Dempsey, Ross

AU - Pufu, Silviu S.

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/7

Y1 - 2025/7

N2 - We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d N = 8 U(N)k × U(N)–k ABJM theory (dual to graviton scattering in M-theory on AdS4 × S7/ℤk). We use the conformal bootstrap combined with an integral constraint derived from supersymmetric localization in order to constrain semishort OPE coefficients appearing in the stress tensor correlator. We obtain islands that are significantly more precise than those in previous studies that did not use the integral constraint. Using these islands, we can estimate the powers and coefficients in a large central charge expansion. This allows us to accurately read off the N3LO contribution, from the protected D6R4 correction, and also estimate the N4LO contribution, from the unprotected D8R4 correction.

AB - We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d N = 8 U(N)k × U(N)–k ABJM theory (dual to graviton scattering in M-theory on AdS4 × S7/ℤk). We use the conformal bootstrap combined with an integral constraint derived from supersymmetric localization in order to constrain semishort OPE coefficients appearing in the stress tensor correlator. We obtain islands that are significantly more precise than those in previous studies that did not use the integral constraint. Using these islands, we can estimate the powers and coefficients in a large central charge expansion. This allows us to accurately read off the N3LO contribution, from the protected D6R4 correction, and also estimate the N4LO contribution, from the unprotected D8R4 correction.

KW - AdS-CFT Correspondence

KW - Conformal and W Symmetry

KW - Extended Supersymmetry

KW - M-Theory

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DO - 10.1007/JHEP07(2025)096

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JO - Journal of High Energy Physics

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Higher-derivative corrections in M-theory from precision numerical bootstrap

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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