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arxiv: 1004.2579 · v2 · pith:SAXRCV3Nnew · submitted 2010-04-15 · ✦ hep-th

Modular differential equations for characters of RCFT

Peter Bantay This is my paper
classification ✦ hep-th
keywords modularequationscharactersdifferentialmethodsrcftalgebraalgorithmic
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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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