论文标题

多点引导I:轻束雪花op和WL起源

Multipoint Bootstrap I: Light-Cone Snowflake OPE and the WL Origin

论文作者

Bercini, Carlos, Gonçalves, Vasco, Vieira, Pedro

论文摘要

我们启动对$ N> 4 $点相关功能的保形引导程序的探索。在这里,我们在平面非亚伯式保形理论中引导最轻的标量规范算子的相关函数,因为它们的位置接近无效多边形的cusps。为此,我们考虑了OPE在所谓的雪花通道中相对于循环转换的一致性,这些变换使无效配置不变。对于一般的非亚洲量规理论,这使我们能够强烈将最多三个大型旋转$ J_J $运算符(和大极化量子数$ L_ {J} $)的OPE结构常数限制为所有环订单。在$ \ Mathcal {n} = 4 $中,我们通过二元性完全修复了它们,并通过Null多边形Wilson Loops以及Basso,Dixon和Papathanasiou探索的Hexagon的最新起源限制。

We initiate an exploration of the conformal bootstrap for $n>4$ point correlation functions. Here we bootstrap correlation functions of the lightest scalar gauge invariant operators in planar non-abelian conformal gauge theories as their locations approach the cusps of a null polygon. For that we consider consistency of the OPE in the so-called snowflake channel with respect to cyclicity transformations which leave the null configuration invariant. For general non-abelian gauge theories this allows us to strongly constrain the OPE structure constants of up to three large spin $J_j$ operators (and large polarization quantum number $l_{j}$) to all loop orders. In $ \mathcal{N}=4$ we fix them completely through the duality to null polygonal Wilson loops and the recent origin limit of the hexagon explored by Basso, Dixon and Papathanasiou.

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