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Observables in the equivariant A-model


Bonechi, Francesco; Cattaneo, Alberto S; Iraso, Riccardo; Zabzine, Maxim (2020). Observables in the equivariant A-model. Letters in Mathematical Physics, 110(4):695-711.

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.

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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Mathematical Physics, Statistical and Nonlinear Physics
Language:English
Date:1 April 2020
Deposited On:08 Jan 2020 13:16
Last Modified:24 Mar 2020 10:02
Publisher:Springer
ISSN:0377-9017
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s11005-019-01236-1

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