Cosets of meromorphic CFTs and modular differential equations

2016/02/02 by Matthias R. Gaberdiel, Harsha R. Hampapura, Sunil Mukhi · 14 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Coset #Differential (mechanical device) #Homotopy and Cohomology in Algebraic Topology #Meromorphic function #Modular design #Modular form #Nonlinear Waves and Solitons #Orthogonality #Polynomial and algebraic computation #hep-th

paper · pdf · doi:10.1007/jhep04(2016)156

published in Journal of High Energy Physics 2016(4), 1-13 (Springer Nature) · 1+12 pages

arxiv created 2016/02/02 · openalex publication_date 2016/04/01 · arxiv updated 2016/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Meromorphicc=24 conformal field theories

Cited by

• Rational CFT With Three Characters: The Quasi-Character Approach
• Two-dimensional RCFT’s without Kac-Moody symmetry

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• Towards a Classification of Two-Character Rational Conformal Field Theories
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• Meromorphic CFTs have central charges c = 8ℕ: a proof based on the MLDE approach and Rademacher series