Stress-tensor OPE in (Formula Presented) superconformal theories

Abstract

Abstract: We carry out a detailed superspace analysis of the OPE of two (Formula presented.) stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of (Formula presented.) SCFTs, imply an analytic bound on the central charge c. This bound is valid for any (Formula presented.) SCFT regardless of its matter content and flavor symmetries, and is saturated by the simplest Argyres-Douglas fixed point. We also present a partial conformal block analysis for the scalar superconformal primary of the multiplet.