New meromorphic CFTs from cosets

TL;DR

This paper demonstrates how the coset construction and classification of meromorphic CFTs with central charge up to 24 can predict new meromorphic CFTs with higher central charges, including non-lattice theories with complex algebraic structures.

Contribution

It introduces a method to predict new meromorphic CFTs with large central charge using coset relations and classification data, expanding the known landscape of such theories.

Findings

34 infinite series of meromorphic theories with large central charge

46 theories identified at c=32 and c=40

New non-lattice meromorphic CFTs with non-simply-laced Kac-Moody algebras

Abstract

In recent years it has been understood that new rational CFTs can be discovered by applying the coset construction to meromorphic CFTs. Here we turn this approach around and show that the coset construction, together with the classification of meromorphic CFT with $c\leq 24$, can be used to predict the existence of new meromorphic CFTs with $c\geq 32$ whose Kac-Moody algebras are non-simply-laced and/or at levels greater than 1. This implies they are non-lattice theories. Using three-character coset relations, we propose 34 infinite series of meromorphic theories with arbitrarily large central charge, as well as 46 theories at $c=32$ and $c=40$.