Stress-tensor OPE in N = 2 $$ \mathcal{N}=2 $$ superconformal theories
Pedro Liendo (IMIP, Humboldt-Universität zu Berlin, IRIS Adlershof, Zum Großen Windkanal 6, 12489, Berlin, Germany); Israel Ramírez (IMIP, Humboldt-Universität zu Berlin, IRIS Adlershof, Zum Großen Windkanal 6, 12489, Berlin, Germany, Departamento de Fısica, Universidad Técnica Federico Santa Marıa, Casilla 110-V, Valparaíso, Chile); Jihye Seo (Theory Group, DESY Hamburg, Notkestrasse 85, D-22607, Hamburg, Germany)
We carry out a detailed superspace analysis of the OPE of two N = 2 $$ \mathcal{N}=2 $$ stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of N = 2 $$ \mathcal{N}=2 $$ SCFTs, imply an analytic bound on the central charge c . This bound is valid for any N = 2 $$ \mathcal{N}=2 $$ 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.
