A remark on Schwarz's topological field theory

Details A remark on Schwarz's topological field theory A remark on Schwarz's topological field theory

2000-08-20

arxiv.org/abs/hep-th/0008156v1

Lett.Math.Phys. 51 (2000) 249-255

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex, to appear in Lett. Math. Phys

Scientific paper

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.

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