The global sections of chiral de Rham complexes on compact Ricci-flat Kähler manifolds

Abstract

The space of the global sections of chiral de Rham complex on a compact Ricci-flat Kähler manifold is calculated and it is expressed as an invariant subspace of a $\beta \gamma -bc$ system under the action of certain Lie algebra.

31 pages, rewrite section 2, section 3, and section 6

References in corpus (1)

• Chiral de Rham complex and the half-twisted sigma-model

Cited by in corpus (1)

• Invariant subalgebras of the small $\mathcal{N}=4$ superconformal algebra