The Partition Function for Topological Field Theories

Details The Partition Function for Topological Field Theories The Partition Function for Topological Field Theories

1993-04-02

arxiv.org/abs/hep-th/9304016v1

Annals Phys. 231 (1994) 270-289

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, plain-TeX file

Scientific paper

10.1006/aphy.1994.1043

We use a Hodge decomposition and its generalization to non-abelian flat vector bundles to calculate the partition function for abelian and non- abelian BF theories in $n$ dimensions. This enables us to provide a simple proof that the partition function is related to the Ray-Singer torsion defined on flat vector bundles for all odd-dimensional manifolds, and is equal to unity for even dimensions.

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