Compactifications of ADE conformal matter on a torus

TL;DR

This paper explores how compactifying ADE conformal matter on a torus with flux leads to new four-dimensional quiver gauge theories, revealing IR symmetry enhancements and dualities.

Contribution

It introduces a systematic method to construct 4D theories from 6D ADE conformal matter via interfaces and flux compactifications, expanding understanding of IR phenomena.

Findings

Construction of 4D quiver gauge theories from 6D ADE conformal matter.

Identification of IR symmetry enhancements in the resulting theories.

Discovery of dualities among the constructed models.

Abstract

In this paper we study compactifications of ADE type conformal matter, N M5 branes probing ADE singularity, on torus with flux for global symmetry. We systematically construct the four dimensional theories by first going to five dimensions and studying interfaces. We claim that certain interfaces can be associated with turning on flux in six dimensions. The interface models when compactified on a circle comprise building blocks for constructing four dimensional models associated to flux compactifications of six dimensional theories on a torus. The theories in four dimensions turn out to be quiver gauge theories and the construction implies many interesting cases of IR symmetry enhancements and dualities of such theories.