Cosets of Meromorphic CFTs and Modular Differential Equations

Abstract

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.

arXiv comment1+12 pages

References in corpus (3)

• Meromorphic c=24 Conformal Field Theories
• On 2d Conformal Field Theories with Two Characters
• Orbifold Constructions and the Classification of Self-Dual c=24 Conformal Field Theories

Cited by in corpus (12)

• Two-dimensional RCFT's without Kac-Moody symmetry
• Topological Field Theory with Haagerup Symmetry
• Bosonic Rational Conformal Field Theories in Small Genera, Chiral Fermionization, and Symmetry/Subalgebra Duality
• Galois Symmetry Induced by Hecke Relations in Rational Conformal Field Theory and Associated Modular Tensor Categories
• Classification of Unitary RCFTs with Two Primaries and Central Charge Less Than 25
• On classification of extremal non-holomorphic conformal field theories
• Curiosities above c = 24
• Classification of some vertex operator algebras of rank 3
• Classification of extremal vertex operator algebras with two simple modules
• Non-Chiral Vertex Operator Algebra Associated To Lorentzian Lattices And Narain CFTs
• Contour Integrals and the Modular S-Matrix
• Rényi entropy of single-character CFTs on the torus