Generalized bootstrap equations for N=4 SCFT

TL;DR

This paper develops generalized bootstrap equations for N=4 superconformal field theories, deriving bounds on operator dimensions that extend previous results for stress-energy tensor multiplet operators.

Contribution

It introduces a unified framework of bootstrap equations for various R-symmetry representations, broadening the scope of conformal bootstrap constraints in N=4 SCFTs.

Findings

Derived non-trivial bounds on unprotected operator dimensions

Extended previous bounds from stress-energy tensor multiplet to other representations

Provided consistency conditions for four-point functions of half-BPS operators

Abstract

We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N=4 superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet.