A remark on Schwarz's topological field theory
High Energy Physics - Theory
2023-07-17 v1
Abstract
The standard evaluation of the partition function 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.
Keywords
Cite
@article{arxiv.hep-th/0008156,
title = {A remark on Schwarz's topological field theory},
author = {David H. Adams and Emil M. Prodanov},
journal= {arXiv preprint arXiv:hep-th/0008156},
year = {2023}
}
Comments
9 pages, latex, to appear in Lett. Math. Phys