Stress-tensor OPE in N = 2 N=2 superconformal theories

2015/09/30 by Pedro Liendo, Israel Ramirez, Israel Ramírez +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Conformal map #Operator product expansion #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Superconformal algebra #Superfield #Superspace #hep-th

paper · pdf · doi:10.1007/jhep02(2016)019

29 pages

arxiv created 2016/01/10 · openalex publication_date 2016/02/01 · arxiv updated 2016/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We carry out a detailed superspace analysis of the OPE of two N=2 stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of N=2 SCFTs, imply an analytic bound on the central charge c. This bound is valid for any 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.

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