Partition Functions, Localization, and the Chiral de Rham complex

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...

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Bibliographic Details
Published in:arXiv.org 2007-02
Main Authors: Grassi, Pietro Antonio, Policastro, Giuseppe, Scheidegger, Emanuel
Format: Article
Language:English
Subjects:
Gauge theory
Localization
Partitions
Partitions (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422