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arxiv: 1509.00033 · v2 · pith:C7JH6LZTnew · submitted 2015-08-31 · ✦ hep-th

Stress-tensor OPE in N=2 Superconformal Theories

classification ✦ hep-th
keywords analysisboundmultipletsstress-tensorsuperconformalalgebraanalyticappearing
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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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