Sicilian gauge theories and N=1 dualities

TL;DR

This paper develops tools to analyze superconformal phases of non-Lagrangian theories, focusing on Sicilian gauge theories derived from six-dimensional A_N (2,0) theories, including their dualities and marginal deformations.

Contribution

It introduces methods to study global symmetries and beta-functions in non-Lagrangian theories, and applies them to N=1 Sicilian gauge theories from 6D compactifications.

Findings

Identified the contribution of non-Lagrangian sectors to the NSVZ beta-function.

Elucidated the counting of marginal deformations in these theories.

Connected N=1 theories to holographic duals of supergravity solutions.

Abstract

In theories without known Lagrangian descriptions, knowledge of the global symmetries is often one of the few pieces of information we have at our disposal. Gauging (part of) such global symmetries can then lead to interesting new theories, which are usually still quite mysterious. In this work, we describe a set of tools that can be used to explore the superconformal phases of these theories. In particular, we describe the contribution of such non-Lagrangian sectors to the NSVZ beta-function, and elucidate the counting of marginal deformations. We apply our techniques to N=1 theories obtained by mass deformations of the N=2 conformal theories recently found by Gaiotto. Because the basic building block of these theories is a triskelion, or trivalent vertex, we dub them "Sicilian gauge theories." We identify these N=1 theories as compactifications of the six-dimensional A_N (2,0) theory on Riemann surfaces with punctures and SU(2) Wilson lines. These theories include the holographic duals of the N=1 supergravity solutions found by Maldacena and Nunez.