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arXiv · 1312.7386

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

Bailin Song
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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.

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Bailin Song. 2014-07-09. The global sections of the chiral de Rham complex on a Kummer surface. https://arxiv.org/abs/1312.7386

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