| 1. |
- Bonechi, F., et al.
(author)
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Equivariant Batalin-Vilkovisky formalism
- 2020
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In: Journal of Geometry and Physics. - : ELSEVIER. - 0393-0440 .- 1879-1662. ; 154
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Journal article (peer-reviewed)abstract
- 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. (C) 2020 Elsevier B.V. All rights reserved.
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| 2. |
- Bonechi, F., et al.
(author)
-
Observables in the equivariant A-model
- 2020
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In: Letters in Mathematical Physics. - : Springer Nature. - 0377-9017 .- 1573-0530. ; 110:4, s. 695-711
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Journal article (peer-reviewed)abstract
- We discuss observables of an equivariant extension of the A-model in the framework of the AKSZ construction. We introduce the A-model observables, a class of observables that are homotopically equivalent to the canonical AKSZ observables but are better behaved in the gauge fixing. We discuss them for two different choices of gauge fixing: The first one is conjectured to compute the correlators of the A-model which target the Marsden–Weinstein reduced space; in the second one we recover the topological Yang–Mills action coupled with A-model so that the A-model observables are closed under supersymmetry.
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| 3. |
- Bonechi, F., et al.
(author)
-
Towards equivariant Yang-Mills theory
- 2023
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In: Journal of Geometry and Physics. - : Elsevier. - 0393-0440 .- 1879-1662. ; 189
-
Journal article (peer-reviewed)abstract
- We study four dimensional gauge theories in the context of an equivariant extension of the Batalin-Vilkovisky (BV) formalism. We discuss the embedding of BV Yang-Mills (YM) theory into a larger BV theory and their relation. Partial integration in the equivariant BV setting (BV push-forward map) is performed explicitly for the abelian case. As result, we obtain a non-local homological generalization of the Cartan calculus and a non-local extension of the abelian YM BV action which satisfies the equivariant master equation.
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