Exceptional N=1 Duality

TL;DR

This paper explores dualities in four-dimensional N=1 supersymmetric gauge theories, proposing a new duality for the E7 theory within an ADE classification framework, extending known dualities for A and D series.

Contribution

It introduces a novel duality for the E7 theory, expanding the understanding of dualities in supersymmetric gauge theories beyond A and D series.

Findings

Identification of fixed points with ADE classification

Generalizations of Seiberg duality for A and D series

Proposal of a new duality for E7 theory

Abstract

Four dimensional N=1 supersymmetric gauge theory with gauge group SU(N_c) and matter in the adjoint and fundamental representations gives rise to a series of fixed points with an ADE classification. The A and D series exhibit generalizations of Seiberg duality. We propose a similar duality for the E7 theory.