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arXiv · 2008.10407

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

Carlos Bercini·Vasco Gonçalves·Pedro Vieira
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Abstract

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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Carlos Bercini, Vasco Gonçalves, Pedro Vieira. 2021-03-11. Multipoint Bootstrap I: Light-Cone Snowflake OPE and the WL Origin. https://doi.org/10.1103/physrevlett.126.121603

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