Modular differential equations for characters of RCFT

Details Modular differential equations for characters of RCFT Modular differential equations for characters of RCFT

2010-04-15

arxiv.org/abs/1004.2579v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

We discuss methods, based on the theory of vector-valued modular forms, to
determine all modular differential equations satisfied by the conformal
characters of RCFT; these modular equations are related to the null vector
relations of the operator algebra. Besides describing effective algorithmic
procedures, we illustrate our methods on an explicit example.

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