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))).
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