Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories

Abstract In this paper, we give a new effective superpotential that makes clear Bethe/Gauge correspondence between 2d (and 3d) SO/Sp gauge theories and open XXX (and XXZ) spin chains with diagonal boundary conditions, and also works in the case of 2d (and 3d) BC N -type gauge theories which is not p...

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Автори: Xiang-Mao Ding, Tinglyer Zhang
Формат: Стаття
Мова:English
Опубліковано: SpringerOpen 2023-04-01
Серія:Journal of High Energy Physics
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Онлайн доступ:https://doi.org/10.1007/JHEP04(2023)036
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author Xiang-Mao Ding
Tinglyer Zhang
author_facet Xiang-Mao Ding
Tinglyer Zhang
author_sort Xiang-Mao Ding
collection DOAJ
description Abstract In this paper, we give a new effective superpotential that makes clear Bethe/Gauge correspondence between 2d (and 3d) SO/Sp gauge theories and open XXX (and XXZ) spin chains with diagonal boundary conditions, and also works in the case of 2d (and 3d) BC N -type gauge theories which is not previously discussed in the literature. Especially, for exceptional Lie algebras F4, G2, we give the effective superpotential and vacuum equations. For E6,7,8, we only give theirs effective superpotential for convenience.
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spelling doaj.art-97d76b6d100b4e43b788c297c1a46b6f2023-07-30T11:05:01ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413110.1007/JHEP04(2023)036Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theoriesXiang-Mao Ding0Tinglyer Zhang1Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of SciencesInstitute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of SciencesAbstract In this paper, we give a new effective superpotential that makes clear Bethe/Gauge correspondence between 2d (and 3d) SO/Sp gauge theories and open XXX (and XXZ) spin chains with diagonal boundary conditions, and also works in the case of 2d (and 3d) BC N -type gauge theories which is not previously discussed in the literature. Especially, for exceptional Lie algebras F4, G2, we give the effective superpotential and vacuum equations. For E6,7,8, we only give theirs effective superpotential for convenience.https://doi.org/10.1007/JHEP04(2023)036Bethe AnsatzSupersymmetric Gauge TheorySupersymmetry and Duality
spellingShingle Xiang-Mao Ding
Tinglyer Zhang
Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories
Journal of High Energy Physics
Bethe Ansatz
Supersymmetric Gauge Theory
Supersymmetry and Duality
title Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories
title_full Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories
title_fullStr Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories
title_full_unstemmed Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories
title_short Bethe/Gauge correspondence for ABCDEFG-type 3d gauge theories
title_sort bethe gauge correspondence for abcdefg type 3d gauge theories
topic Bethe Ansatz
Supersymmetric Gauge Theory
Supersymmetry and Duality
url https://doi.org/10.1007/JHEP04(2023)036
work_keys_str_mv AT xiangmaoding bethegaugecorrespondenceforabcdefgtype3dgaugetheories
AT tinglyerzhang bethegaugecorrespondenceforabcdefgtype3dgaugetheories