One-character extension characters of tensor products of small CFTs organize into compact S-invariant polynomial bases, yielding closed forms up to central charge 128 and conjectured new one-character CFTs.
New meromorphic CFTs from cosets
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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 $c=40$.
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2024 1verdicts
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Tensor Product CFTs and One-Character Extensions
One-character extension characters of tensor products of small CFTs organize into compact S-invariant polynomial bases, yielding closed forms up to central charge 128 and conjectured new one-character CFTs.