On the Evaluation of the Ray-Singer Torsion Path Integral

Matthias Blau; Mbambu Kakona; George Thompson

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arXiv · 2402.14437

On the Evaluation of the Ray-Singer Torsion Path Integral

Matthias Blau·Mbambu Kakona·George Thompson

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Abstract

There are very few explicit evaluations of path integrals for topological gauge theories in more than 3 dimensions. Here we provide such a calculation for the path integral representation of the Ray-Singer Torsion of a flat connection on a vector bundle on base manifolds that are themselves $S^{1}$ bundles of any dimension. The calculation relies on a suitable algebraic choice of gauge which leads to a convenient factorisation of the path integral into horizontal and vertical parts.

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Matthias Blau, Mbambu Kakona, George Thompson. 2024-02-22. On the Evaluation of the Ray-Singer Torsion Path Integral. https://arxiv.org/abs/2402.14437

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