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

Understand

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.