A Cellular Topological Field Theory

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