TY - JOUR

T1 - A large twist limit for any operator

AU - Ferrando, Gwenaël

AU - Sever, Amit

AU - Sharon, Adar

AU - Urisman, Elior

N1 - Publisher Copyright:
© 2023, The Author(s).

PY - 2023/6

Y1 - 2023/6

N2 - We argue that for any single-trace operator in N = 4 SYM theory there is a large twist double-scaling limit in which the Feynman graphs have an iterative structure. Such structure can be recast using a graph-building operator. Generically, this operator mixes between single trace operators with different scaling limits. The mixing captures both the finite coupling spectrum and corrections away from the large twist limit. We first consider a class of short operators with gluons and fermions for which such mixing problems do not arise, and derive their finite coupling spectra. We then focus on a class of long operators with gluons that do mix. We invert their graph-building operator and prove its integrability. The picture that emerges from this work opens the door to a systematic expansion of N = 4 SYM theory around the large twist limit.

AB - We argue that for any single-trace operator in N = 4 SYM theory there is a large twist double-scaling limit in which the Feynman graphs have an iterative structure. Such structure can be recast using a graph-building operator. Generically, this operator mixes between single trace operators with different scaling limits. The mixing captures both the finite coupling spectrum and corrections away from the large twist limit. We first consider a class of short operators with gluons and fermions for which such mixing problems do not arise, and derive their finite coupling spectra. We then focus on a class of long operators with gluons that do mix. We invert their graph-building operator and prove its integrability. The picture that emerges from this work opens the door to a systematic expansion of N = 4 SYM theory around the large twist limit.

KW - AdS-CFT Correspondence

KW - Field Theories in Higher Dimensions

KW - Integrable Field Theories

UR - http://www.scopus.com/inward/record.url?scp=85161232981&partnerID=8YFLogxK

U2 - 10.1007/JHEP06(2023)028

DO - 10.1007/JHEP06(2023)028

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AN - SCOPUS:85161232981

SN - 1126-6708

VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 28

ER -