Partition Functions, Localization, and the Chiral de Rham complex

Abstract

We propose a localization formula for the chiral de Rham complex generalizing the well-known localization procedure in topological theories. Our formula takes into account the contribution due to the massive modes. The key to achieve this is to view the non-linear beta-gamma system as a gauge theory. For abelian gauge groups we are in the realm of toric geometry. Including the b-c system, the formula reproduces the known results for the elliptic genus of toric varieties. We compute the partition function of several models.

52 pages, Latex, no figures

References in corpus (5)

• ICTP Lectures on Covariant Quantization of the Superstring
• Chiral de Rham complex and the half-twisted sigma-model
• Two-Dimensional Models With (0,2) Supersymmetry: Perturbative Aspects
• Instantons beyond topological theory II
• Super-Chern-Simons Theory as Superstring Theory

Cited by in corpus (1)

• Y-Formalism and Curved Beta-Gamma Systems