English

Conformal blocks and generalized theta functions

alg-geom 2009-10-22 v1 Algebraic Geometry

Abstract

Let M(r) be the moduli space of rank r vector bundles with trivial determinant on a Riemann surface X . This space carries a natural line bundle, the determinant line bundle L . We describe a canonical isomorphism of the space of global sections of L^k with a space known in conformal field theory as the ``space of conformal blocks", which is defined in terms of representations of the Lie algebra sl(r, C((z))).

Keywords

Cite

@article{arxiv.alg-geom/9309003,
  title  = {Conformal blocks and generalized theta functions},
  author = {Arnaud Beauville and Yves Laszlo},
  journal= {arXiv preprint arXiv:alg-geom/9309003},
  year   = {2009}
}

Comments

43 pages, Plain TeX