Conformal blocks and generalized theta functions

Details Conformal blocks and generalized theta functions Conformal blocks and generalized theta functions

1993-09-15

arxiv.org/abs/alg-geom/9309003v1

Mathematics

Algebraic Geometry

43 pages, Plain TeX

Scientific paper

10.1007/BF02101707

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))).

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