The Partition Function for Topological Field Theories
高能物理 - 理论
2009-10-22 v1
摘要
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 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.
引用
@article{arxiv.hep-th/9304016,
title = {The Partition Function for Topological Field Theories},
author = {J. Gegenberg and G. Kunstatter},
journal= {arXiv preprint arXiv:hep-th/9304016},
year = {2009}
}
备注
23 pages, plain-TeX file