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Explicit modular formulae and symmetries of RCFT's I

Antoine Coste

math-pharXiv:math-ph/0405051

Abstract

We derive compact formulae for modular transformations of WZ characters. We start with algebra A1 at positive level k=n-2, for which we can easily provide some description of isometry group and genus formula in a special case. We also point to general features, formulating and proving theorems for RCFT's which seem new.

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