Orbifold conformal blocks and the stack of pointed G-covers

JOURNAL OF GEOMETRY AND PHYSICS

卷:56

Article

Szczesny, Matthew

关键词: moduli stacks of algebraic curves;    vertex algebras;    D-modules;    conformal blocks;   

DOI  :  10.1016/j.geomphys.2005.11.002

来源: Elsevier

【 摘 要 】

Starting with a vertex algebra V, a finite group G of automorphisms of V, and a suitable collection of twisted V-modules, we construct (twisted) D-modules on the stack of pointed G-covers, introduced by Jarvis, Kaufmann, and Kimura. The fibers of these sheaves are spaces of orbifold conformal blocks defined in joint work with Edward Frenkel. The key ingredient is a G-equivariant version of the Virasoro uniformization theorem. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free