New meromorphic CFTs from cosets

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 $c\le 24$, can be used to predict the existence of new meromorphic CFTs with $c\ge 32$ 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 $c=40$.

arXiv comment24 pages, 7 tables

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Cited by in corpus (4)

• Bosonic Rational Conformal Field Theories in Small Genera, Chiral Fermionization, and Symmetry/Subalgebra Duality
• Meromorphic Cosets and the Classification of Three-Character CFT
• Modular linear differential equations for four-point sphere conformal blocks
• Rényi entropy of single-character CFTs on the torus