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Hecke relations, cosets and the classification of 2d RCFTs

Hecke relations, cosets and the classification of 2d RCFTs

A bstract We systemically study the Hecke relations and the c = 8 k coset relations among 2d rational conformal field theories (RCFTs) with up to seven characters. We propose that the characters of any 2d RCFT — unitary or non-unitary — satisfying a holomorphic modular linear differential equation (MLDE) …