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New meromorphic CFTs from cosets

Das, Arpit and Gowdigere, Chethan N. and Mukhi, Sunil (2022) 'New meromorphic CFTs from cosets.', Journal of High Energy Physics, 2022 (7). p. 152.


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 ≤ 24, can be used to predict the existence of new meromorphic CFTs with c ≥ 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.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:13 July 2022
Date deposited:17 August 2022
Date of first online publication:26 July 2022
Date first made open access:17 August 2022

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