Galois Modular Invariants of WZW Models

TL;DR

This paper systematically studies Galois modular invariants in WZW models, revealing many coincide with simple current invariants and discovering new exceptional automorphism invariants for certain algebra types.

Contribution

It introduces a systematic analysis of Galois modular invariants and uncovers new exceptional automorphism invariants for types B and D algebras.

Findings

Many Galois modular invariants match simple current invariants

New exceptional automorphism invariants found for type B and D algebras

Enhanced understanding of modular invariants in WZW models

Abstract

The set of modular invariants that can be obtained from Galois transformations is investigated systematically for WZW models. It is shown that a large subset of Galois modular invariants coincides with simple current invariants. For algebras of type B and D infinite series of previously unknown exceptional automorphism invariants are found.