平面 N=4 超对称杨-米尔斯理论中短算子的结构常数。

Structure Constants of Short Operators in Planar N=4 Supersymmetric Yang-Mills Theory.

机构信息

Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Cité, F-75005 Paris, France.

NORDITA, Stockholm University and KTH Royal Institute of Technology, Hannes Alfvéns väg 12, SE-106 91 Stockholm, Sweden.

出版信息

Phys Rev Lett. 2023 Mar 31;130(13):131603. doi: 10.1103/PhysRevLett.130.131603.

DOI:10.1103/PhysRevLett.130.131603

PMID:37067322

Abstract

We present a conjecture for the three-point functions of single-trace operators in planar N=4 super-Yang-Mills theory at finite coupling, in the case where two operators are protected. Our proposal is based on the hexagon representation for structure constants of long operators, which we complete to incorporate operators of any length using data from the TBA-QSC formalism. We perform various tests of our conjecture, at weak and strong coupling, finding agreement with the gauge theory through 5 loops for the shortest three-point function and with string theory in the classical limit.

摘要

我们提出了一个在有限耦合下，平面 N=4 超杨-米尔斯理论中单迹算符三点函数的猜想，其中两个算符是受保护的。我们的建议是基于长算符结构常数的六边形表示，我们使用 TBA-QSC 形式主义的数据来扩展它以包含任何长度的算符。我们对我们的猜想进行了各种测试，在弱耦合和强耦合下，通过 5 圈找到与规范理论的一致，并且在经典极限下与弦理论一致。