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.
Highlights
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 use our selection rules together with the two-dimensional chiral algebra construction to obtain an analytic bound on c. This bound is valid for any N = 2 superconformal theory regardless of its matter content and flavor symmetries
Of prime importance in this analysis will be the existence of a protected subsector of observables present in any N = 2 SCFT, whose correlation functions are described by a 2d chiral algebra
Summary
Of prime importance in this analysis will be the existence of a protected subsector of observables present in any N = 2 SCFT, whose correlation functions are described by a 2d chiral algebra We will review this construction with some detail, for let us just give a short outline of the calculation. The 2d stress-tensor correlator constitutes a solvable truncation of the full four-point function of four currents Jα(iαj)(x), and can be completely fixed by symmetry This correlator can be expanded in conformal blocks associated with the multiplets listed in (2.8), and unitarity of the four-dimensional theory implies an analytic bound on c valid for any interacting. The supersymmetric selection rules are relevant for the crossing symmetry equation of the superconformal primary J(x) This is a more challenging calculation and we will only present some partial results.
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