English

A remark on Schwarz's topological field theory

High Energy Physics - Theory 2023-07-17 v1

Abstract

The standard evaluation of the partition function ZZ 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