Cosets of Meromorphic CFTs and Modular Differential Equations
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Some relations between families of two-character CFTs are explained using a slightly generalised coset construction, and the underlying theories (whose existence was only conjectured based on the modular differential equation) are constructed. The same method also gives rise to interesting new examples of CFTs with three and four characters.
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Cited by 4 Pith papers
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Generalised 4d Partition Functions and Modular Differential Equations
Generalized Schur partition functions Z_USp(2N)(q; alpha) for 4d N=2 USp(2N) theories satisfy order-(N+1) MLDEs with vanishing Wronskian index, alpha fixing MLDE parameters, with links to RCFT characters and a conject...
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Quasi-Characters for three-character Rational Conformal Field Theories
All (3,0) admissible solutions are expressed via a universal _3F_2 hypergeometric formula; (3,3) solutions are built from them using Bantay-Gannon duality with only 7 of 15 having proper fusion rules, and further (3,6...
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Signs, growth and admissibility of quasi-characters and the holomorphic modular bootstrap for RCFT
The work proves that quasi-character coefficients have stabilizing alternating signs and estimates their growth near n ~ c/12 via Frobenius recursion on MLDEs, enabling candidate RCFT characters at arbitrary Wronskian index.
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Updating the holomorphic modular bootstrap
Admissible solutions to MLDEs with ≤6 characters and c_eff ≤24 are enumerated; tenable ones with good fusion rules are identified, with some linked to specific CFTs and MTC classes.
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