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arXiv · 1703.05018

A GNS construction of three-dimensional abelian Dijkgraaf-Witten theories

Lukas Müller·Christoph Schweigert
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Abstract

We give a detailed account of the so-called "universal construction" that aims to extend invariants of closed manifolds, possibly with additional structure, to topological field theories and show that it amounts to a generalization of the GNS construction. We apply this construction to an invariant defined in terms of the groupoid cardinality of groupoids of bundles to recover Dijkgraaf-Witten theories, including the vector spaces obtained as a linearization of spaces of principal bundles.

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BibTeXRIS

Lukas Müller, Christoph Schweigert. 2017-03-15. A GNS construction of three-dimensional abelian Dijkgraaf-Witten theories. https://doi.org/10.1142/s0129055x18500058

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