Title

A Remark on Schwarz's Topological Field Theory

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics, Particles and fields physics

Publication Details

Lett. Math. Phys. 51, 249-255, 2000

Abstract

The standard evaluation of the partition function $Z$ of Schwarz's topological field theory results in the Ray--Singer analytic torsion. Here we present an alternative evaluation which results in Z=1. Mathematically, this amounts to a novel perspective on analytic torsion: it can be formally written as a ratio of volumes of spaces of differential forms which is formally equal to 1 by Hodge duality. An analogous result for Reidemeister combinatorial torsion is also obtained.

DOI

https://doi.or/10.1023/A:1007628622454

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