Stress-tensor OPE in N = 2 $$ mathcal{N}=2 $$ superconformal theories

We carry out a detailed superspace analysis of the ope of two $$ mathcal{n}=2 $$ stress-tensor multiplets. knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of $$ mathcal{n}=2 $$ scfts, imply an analytic bound on the central charge c. this bound is valid for any $$ mathcal{n}=2 $$ 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.