Conformal blocks , fusion rules and the Verlinde formula

  title={Conformal blocks , fusion rules and the Verlinde formula},
  author={B. Arnaud},
A Rational Conformal Field Theory (RCFT) is a functor which associates to any Riemann surface with marked points a finite-dimensional vector space, so that certain axioms are satisfied; the Verlinde formula computes the dimension of these vector spaces. For some particular RCFTs associated to a compact Lie group G (the WZW models), these spaces have a beautiful algebro-geometric interpretation as spaces of generalized theta functions, that is, sections of a determinant bundle (or its powers… CONTINUE READING
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