On the Exceptional Gauged WZW Theories

TL;DR

This paper explores two versions of gauged WZW theories with exceptional groups, establishing their equivalence through automorphisms and relating dual symmetric spaces with different characters.

Contribution

It introduces a method to demonstrate the equivalence of two gauged WZW theories for exceptional groups using automorphisms, linking dual symmetric spaces.

Findings

Established the equivalence of two gauged WZW theories with exceptional groups.

Constructed automorphisms relating dual symmetric spaces with different characters.

Provided insights into the structure of gauged WZW theories and symmetric spaces.

Abstract

We consider two different versions of gauged WZW theories with the exceptional groups and gauged with any of theirs null subgroups. By constructing suitable automorphism, we establish the equivalence of these two theories. On the other hand our automorphism, relates the two dual irreducible Riemannian globally symmetric spaces with different characters based on the corresponding exceptional Lie groups.