Level repulsion in N = 4 super-Yang-Mills via integrability, holography, and the bootstrap

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

doi:10.1007/JHEP07(2024)059

Level repulsion in N = 4 super-Yang-Mills via integrability, holography, and the bootstrap

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

Physics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected operator in N = 4 SU(N) super-Yang-Mills theory for a wide range of N and Yang-Mills couplings g_YM. We find that our bounds are approximately saturated by weak coupling results at small g_YM. Furthermore, at large N our bounds interpolate between integrability results for the Konishi operator at small g_YM and strong-coupling results, including the first few stringy corrections, for the lowest-dimension double-trace operator at large g_YM. In particular, our scaling dimension bounds describe the level splitting between the single- and double-trace operators at intermediate coupling.

Original language	English (US)
Article number	59
Journal	Journal of High Energy Physics
Volume	2024
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2024)059
State	Published - Jul 2024

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

AdS-CFT Correspondence
Conformal and W Symmetry
Nonperturbative Effects
Supersymmetric Gauge Theory

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10.1007/JHEP07(2024)059

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title = "Level repulsion in N = 4 super-Yang-Mills via integrability, holography, and the bootstrap",

abstract = "We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected operator in N = 4 SU(N) super-Yang-Mills theory for a wide range of N and Yang-Mills couplings gYM. We find that our bounds are approximately saturated by weak coupling results at small gYM. Furthermore, at large N our bounds interpolate between integrability results for the Konishi operator at small gYM and strong-coupling results, including the first few stringy corrections, for the lowest-dimension double-trace operator at large gYM. In particular, our scaling dimension bounds describe the level splitting between the single- and double-trace operators at intermediate coupling.",

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doi = "10.1007/JHEP07(2024)059",

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T1 - Level repulsion in N = 4 super-Yang-Mills via integrability, holography, and the bootstrap

AU - Chester, Shai M.

AU - Dempsey, Ross

AU - Pufu, Silviu S.

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/7

Y1 - 2024/7

N2 - We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected operator in N = 4 SU(N) super-Yang-Mills theory for a wide range of N and Yang-Mills couplings gYM. We find that our bounds are approximately saturated by weak coupling results at small gYM. Furthermore, at large N our bounds interpolate between integrability results for the Konishi operator at small gYM and strong-coupling results, including the first few stringy corrections, for the lowest-dimension double-trace operator at large gYM. In particular, our scaling dimension bounds describe the level splitting between the single- and double-trace operators at intermediate coupling.

AB - We combine supersymmetric localization with the numerical conformal bootstrap to bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected operator in N = 4 SU(N) super-Yang-Mills theory for a wide range of N and Yang-Mills couplings gYM. We find that our bounds are approximately saturated by weak coupling results at small gYM. Furthermore, at large N our bounds interpolate between integrability results for the Konishi operator at small gYM and strong-coupling results, including the first few stringy corrections, for the lowest-dimension double-trace operator at large gYM. In particular, our scaling dimension bounds describe the level splitting between the single- and double-trace operators at intermediate coupling.

KW - AdS-CFT Correspondence

KW - Conformal and W Symmetry

KW - Nonperturbative Effects

KW - Supersymmetric Gauge Theory

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U2 - 10.1007/JHEP07(2024)059

DO - 10.1007/JHEP07(2024)059

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SN - 1126-6708

VL - 2024

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

M1 - 59

ER -

Level repulsion in N = 4 super-Yang-Mills via integrability, holography, and the bootstrap

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