Cosets of Meromorphic CFTs and Modular Differential Equations

TL;DR

This paper explores relationships between two-character conformal field theories (CFTs) using a generalized coset construction, constructs the underlying theories, and introduces new examples with three and four characters.

Contribution

It introduces a generalized coset method to relate and construct multi-character CFTs, expanding the known landscape of such theories.

Findings

Relations between two-character CFTs explained

Construction of conjectured theories confirmed

New examples of three and four-character CFTs discovered

Abstract

Some relations between families of two-character CFTs are explained using a slightly generalised coset construction, and the underlying theories (whose existence was only conjectured based on the modular differential equation) are constructed. The same method also gives rise to interesting new examples of CFTs with three and four characters.