String Theory seminar - Pedro Vieira [NOTE UNUSUAL TIME] Seminar

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 nonabelian 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 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.