• Corpus ID: 15460090

Conformal blocks, fusion rules and the Verlinde formula

@article{Beauville1994ConformalBF,
  title={Conformal blocks, fusion rules and the Verlinde formula},
  author={Arnaud Beauville},
  journal={arXiv: Algebraic Geometry},
  year={1994}
}
  • A. Beauville
  • Published 5 May 1994
  • Mathematics
  • arXiv: Algebraic Geometry
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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