N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter

TL;DR

This paper explores four-dimensional N=2 SU quiver gauge theories with USp(2N) or SU(2N) ends, connecting them to six-dimensional theories, and identifies new classes of superconformal field theories with specific operator dimensions.

Contribution

It demonstrates the realization of these gauge theories as compactifications of six-dimensional (0,2) theories and uncovers novel superconformal theories with distinct operator spectra.

Findings

Identification of S-dual theories in moduli space

Discovery of superconformal theories with only odd or only even operator dimensions

Connection between 4D gauge theories and 6D (0,2) theories

Abstract

We consider the four dimensional scale invariant N=2 SU quiver gauge theories with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We argue that these theories are realized as six dimensional A_{2N-1} (0,2) theories compactified on spheres with punctures. With this realization, we can study various strongly coupled cusps in moduli space and find the S-dual theories. We find a class of isolated superconformal field theories with only odd dimensional operators $D(\phi)\geq3$ and superconformal field theories with only even dimensional operators $D(\phi)\geq4$.