Partition Functions, Localization, and the Chiral de Rham complex
High Energy Physics - Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0702044,
title = {Partition Functions, Localization, and the Chiral de Rham complex},
author = {Pietro Antonio Grassi and Giuseppe Policastro and Emanuel Scheidegger},
journal= {arXiv preprint arXiv:hep-th/0702044},
year = {2007}
}
Comments
52 pages, Latex, no figures