Conformal blocks, fusion rules and the Verlinde formula

Details Conformal blocks, fusion rules and the Verlinde formula Conformal blocks, fusion rules and the Verlinde formula

1994-05-05

arxiv.org/abs/alg-geom/9405001v1

Mathematics

Algebraic Geometry

24 pages, Plain TeX

Scientific paper

The Verlinde formula computes the dimension of certain vector spaces ("conformal blocks") associated to a Rational Conformal Field Theory. In this paper we show how this can be made rigorous for one particular such theory, the WZW model. Thanks to the results of [B-L], [F] and [T-U-Y], this gives the dimension of the space of global sections of the determinant line bundles (and its multiples) on the moduli space of vector bundles with fixed rank and determinant.

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