Modular linear differential equations and the classification of Rational CFTs

par Dr Julio Parra Martinez

vendredi 2 déc. 2022, 15:00 → 16:30 Europe/Paris

IHP, salle 314

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.