Dualities in all order finite N=1 gauge theories

TL;DR

This paper explores dual gauge theories for all-loop finite N=1 supersymmetric models, identifying explicit duals and discussing their properties, including a candidate for S-duality in an SO(10) model.

Contribution

It provides a method to explicitly find dual gauge theories for almost all chiral, all-loop finite N=1 supersymmetric gauge theories, including detailed models and a potential S-duality candidate.

Findings

Explicit duals for most all-loop finite N=1 theories

Discussion of a realistic finite SU(5) model

Identification of a candidate for S-duality in SO(10) theory

Abstract

We search for dual gauge theories of all-loop finite, N = 1 supersymmetric gauge theories. It is shown how to find explicitly the dual gauge theories of almost all chiral, N = 1, all-loop finite gauge theories, while several models have been discussed in detail, including a realistic finite SU(5) unified theory. Out of our search only one all-loop, N = 1 finite SO(10) theory emerges, so far, as a candidate for exhibiting also S-duality.