A Remark on Schwarz's Topological Field Theory |
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Authors: | Adams David H. Prodanov Emil M. |
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Affiliation: | (1) Department of Pure Mathematics, Adelaide University, Adelaide, S.A., 5005, Australia;(2) School of Mathematics, Trinity College, Dublin 2, Ireland |
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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. |
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Keywords: | topological field theory analytic torsion combinatorial torsion |
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