2005/12/01 by P. Bantay, Peter Bantay, Terry Gannon +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Field (mathematics) #Modular design #Modular form #Modular invariance #Representation (politics) #hep-th #math.NT #math.QA
paper · pdf · doi:10.1088/1126-6708/2006/02/005
published as JHEP0602:005,2006 · 17 pages
arxiv created 2005/12/01 · openalex publication_date 2006/02/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A general procedure is presented to determine, given any suitable representation of the modular group, the characters of all possible Rational Conformal Field Theories whose associated modular representation is the given one. The relevant ideas and methods are illustrated on two non-trivial examples: the Yang-Lee and the Ising models.