Unstable instantons in A-model localization

Abstract We apply localization techniques to A-twisted N $$ \mathcal{N} $$ = (2) theories of vector multiplets on S 2. We derive formulae for A-model partition functions and correlators as integrals along a real contour, as opposed to a complex one. Using the correlator formula, we successfully reco...

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Main Author: Emil Hakan Leeb-Lundberg
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2024)190
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author Emil Hakan Leeb-Lundberg
author_facet Emil Hakan Leeb-Lundberg
author_sort Emil Hakan Leeb-Lundberg
collection DOAJ
description Abstract We apply localization techniques to A-twisted N $$ \mathcal{N} $$ = (2) theories of vector multiplets on S 2. We derive formulae for A-model partition functions and correlators as integrals along a real contour, as opposed to a complex one. Using the correlator formula, we successfully recover the unstable instanton partition function of pure two-dimensional Yang-Mills theory from the vacuum expectation value of an A-model operator.
format Article
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institution Kabale University
issn 1029-8479
language English
publishDate 2024-09-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-e9c52f794c694979a560cab262c3d6e92024-12-08T12:16:15ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024912910.1007/JHEP09(2024)190Unstable instantons in A-model localizationEmil Hakan Leeb-Lundberg0Department of Physics, Boğaziçi UniversityAbstract We apply localization techniques to A-twisted N $$ \mathcal{N} $$ = (2) theories of vector multiplets on S 2. We derive formulae for A-model partition functions and correlators as integrals along a real contour, as opposed to a complex one. Using the correlator formula, we successfully recover the unstable instanton partition function of pure two-dimensional Yang-Mills theory from the vacuum expectation value of an A-model operator.https://doi.org/10.1007/JHEP09(2024)190Supersymmetric Effective TheoriesSolitons Monopoles and InstantonsSupersymmetric Gauge Theory
spellingShingle Emil Hakan Leeb-Lundberg
Unstable instantons in A-model localization
Journal of High Energy Physics
Supersymmetric Effective Theories
Solitons Monopoles and Instantons
Supersymmetric Gauge Theory
title Unstable instantons in A-model localization
title_full Unstable instantons in A-model localization
title_fullStr Unstable instantons in A-model localization
title_full_unstemmed Unstable instantons in A-model localization
title_short Unstable instantons in A-model localization
title_sort unstable instantons in a model localization
topic Supersymmetric Effective Theories
Solitons Monopoles and Instantons
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP09(2024)190
work_keys_str_mv AT emilhakanleeblundberg unstableinstantonsinamodellocalization