TY - JOUR
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
M3 - Article
AN - SCOPUS:85198076348
SN - 1126-6708
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 7
M1 - 59
ER -