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Cattaneo, Alberto S; Mnev, Pavel; Reshetikhin, Nicolai (2020). A cellular topological field theory. Communications in Mathematical Physics, 374(2):1229-1320.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | Mathematical Physics, Statistical and Nonlinear Physics |
| Language: | English |
| Date: | 1 March 2020 |
| Deposited On: | 07 May 2020 14:48 |
| Last Modified: | 23 Jan 2025 02:37 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/s00220-020-03687-3 |
Cattaneo, Alberto S