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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2024-09-01
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Series: | Journal of High Energy Physics |
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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 |
id | doaj-art-e9c52f794c694979a560cab262c3d6e9 |
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 |