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Bonechi, Francesco; Cattaneo, Alberto S; Qiu, Jian; Zabzine, Maxim (2020). Equivariant Batalin–Vilkovisky formalism. Journal of Geometry and Physic, 154:103720.
We study an equivariant extension of the Batalin–Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant extension of AKSZ solutions of the classical master equation (CME). As examples of the construction, we recover the equivariant extension of supersymmetric Yang–Mills in 2d and of Donaldson–Witten theory.
| 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 > Mathematical Physics
Physical Sciences > General Physics and Astronomy Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Mathematical Physics, General Physics and Astronomy, Geometry and Topology |
| Language: | English |
| Date: | 1 August 2020 |
| Deposited On: | 01 Oct 2020 10:05 |
| Last Modified: | 23 Dec 2024 02:40 |
| Publisher: | Elsevier |
| ISSN: | 0393-0440 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.geomphys.2020.103720 |
Bonechi, Francesco