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arXiv · 2303.08852

A Large Twist Limit for Any Operator

Gwenaël Ferrando·Amit Sever·Adar Sharon·Elior Urisman
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Abstract

We argue that for any single-trace operator in ${\cal N}=4$ 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 ${\cal N}=4$ SYM theory around the large twist limit.

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Gwenaël Ferrando, Amit Sever, Adar Sharon, Elior Urisman. 2023-03-15. A Large Twist Limit for Any Operator. https://doi.org/10.1007/jhep06(2023)028

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