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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)036 |
| _version_ | 1827890609352867840 |
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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. |
| first_indexed | 2024-03-12T21:12:09Z |
| format | Article |
| id | doaj.art-97d76b6d100b4e43b788c297c1a46b6f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:09Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| 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 |