Theories of Class S and New N=1 SCFTs

TL;DR

This paper introduces a new family of class S theories with two parameters, connecting known theories and enabling the construction of new N=1 superconformal field theories through operator analysis and flow studies.

Contribution

It identifies an infinite two-parameter family of class S theories that interpolate between known theories and constructs new N=1 SCFTs based on these models.

Findings

Interpolates between Gaiotto's T_N and free hypermultiplets

Constructs new N=1 SCFTs from these theories

Analyzes operator content and renormalization group flows

Abstract

We describe an infinite two-parameter subfamily of theories of class S where dialing one of the parameters interpolates between Gaiotto's T_N theory and a theory of N^2 free hypermultiplets. After using the reduced superconformal index to study the operator content, we use these theories to construct new N=1 SCFTs and then examine the flows between them.