Modular linear differential equations and the classification of Rational CFTs
par
DrJulio Parra Martinez
→
Europe/Paris
IHP, salle 314
IHP, salle 314
Description
In this talk I will revisit the classification of Rational Conformal Field Theories (RCFTs) via the modular differential equations satisfied by its characters.
Using the Unbounded Denominators Conjecture of Atkin and Swinnerton-Dyer I will relate the monodromy of the differential equation to the representation theory of PSL(2,Z/nZ).
This elementary observation permits the construction of a simple program to classify characters of RCFTs up to rank 5.
