Partition Functions, Localization, and the Chiral de Rham complex

Details Partition Functions, Localization, and the Chiral de Rham complex Partition Functions, Localization, and the Chiral de Rham complex

2007-02-06

arxiv.org/abs/hep-th/0702044v1

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, Latex, no figures

Scientific paper

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.

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