S-duality in $\mathcal{N} = 1$ orientifold SCFTs

TL;DR

This paper develops a comprehensive method to identify all S-dual descriptions of a broad class of $ abla=1$ SCFTs, using geometric and string theory techniques, revealing new dualities and phases.

Contribution

It provides a general solution for finding all S-dual phases of $ abla=1$ SCFTs from decorated toric diagrams and string theory constructions, including previously unknown dualities.

Findings

Explicit S-dual descriptions for a class of $ abla=1$ SCFTs.

Identification of new S-dual phases in previously unknown theories.

Construction of dualities using quiver gauge theories and conformal matter.

Abstract

We present a general solution to the problem of determining all S-dual descriptions for a specific (but very rich) class of $\mathcal{N} = 1$ SCFTs. These SCFTs are indexed by decorated toric diagrams, and can be engineered in string theory by probing orientifolds of isolated toric singularities with D3 branes. The S-dual phases are described by quiver gauge theories coupled to specific types of conformal matter which we describe explicitly. We illustrate our construction with many examples, including S-dualities in previously unknown SCFTs.