On global generation of vector bundles on the moduli space of curves from representations of vertex operator algebras

Abstract

We consider global generation of sheaves of coinvariants on the moduli space of curves given by simple modules over certain vertex operator algebras, extending results for affine VOAs at integrable levels on stable pointed rational curves. Examples where global generation fails, and further evidence of positivity are given.

Minor changes, updated bibliography, accepted for publication in Algebraic Geometry

References in corpus (3)

• W-algebras as coset vertex algebras
• The rank-level duality for non-abelian theta functions
• Conformal blocks from vertex algebras and their connections on ${\overline{\mathcal{M}}}_{g,n}$