A Cellular Topological Field Theory

We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory are invariant under subdivisions, satisfy a version of the quantum master equation, and satisfy Atiyah–Segal-type gluing...

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Veröffentlicht in:	Communications in mathematical physics 2020-03, Vol.374 (2), p.1229-1320
Hauptverfasser:	Cattaneo, Alberto S., Mnev, Pavel, Reshetikhin, Nicolai
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Field theory Gluing Mathematical and Computational Physics Mathematical Physics Partitions (mathematics) Physical Sciences Physics Physics and Astronomy Physics, Mathematical Quantum Physics Relativity Theory Science & Technology Subdivisions Theoretical
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Beschreibung
Zusammenfassung:	We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory are invariant under subdivisions, satisfy a version of the quantum master equation, and satisfy Atiyah–Segal-type gluing formula with respect to composition of cobordisms.
ISSN:	0010-3616 1432-0916
DOI:	10.1007/s00220-020-03687-3