The global sections of the chiral de Rham complex on a Kummer surface

Abstract

The chiral de Rham complex is a sheaf of vertex algebras Ω^ch_M on any nonsingular algebraic variety or complex manifold M, which contains the ordinary de Rham complex as the weight zero subspace. We show that when M is a Kummer surface, the algebra of global sections is isomorphic to the N = 4 superconformal vertex algebra with central charge 6. Previously, CP^n was the only manifold where a complete description of the global section algebra was known.

Abstract and introduction rewritten, minor corrections and expository improvements

References in corpus (3)

• Chiral de Rham complex and the half-twisted sigma-model
• Jet schemes and invariant theory
• Arc spaces and the vertex algebra commutant problem

Cited by in corpus (2)

• Jet schemes and invariant theory
• Invariant subalgebras of the small $\mathcal{N}=4$ superconformal algebra