Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities
Abstract Inspired by the gauge/YBE correspondence this paper derives some star-triangle type relations from dualities in 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) supersymmetric quiver gauge theories. To be precise, we study two cases. The first case is the Intriligator-Pouliot duality in 2d N $$ \mat...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)023 |
| _version_ | 1818417216293437440 |
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| author | J. de-la-Cruz-Moreno H. García-Compeán |
| author_facet | J. de-la-Cruz-Moreno H. García-Compeán |
| author_sort | J. de-la-Cruz-Moreno |
| collection | DOAJ |
| description | Abstract Inspired by the gauge/YBE correspondence this paper derives some star-triangle type relations from dualities in 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) supersymmetric quiver gauge theories. To be precise, we study two cases. The first case is the Intriligator-Pouliot duality in 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) theories. The description is performed explicitly for N = 1, 2, 3, 4, 5 and also for N = 3k + 2, which generalizes the situation in N = 2, 5. For N = 1 a triangle identity is obtained. For N = 2, 5 it is found that the realization of duality implies slight variations of a star-triangle relation type (STR type). The values N = 3, 4 are associated to a similar version of the asymmetric STR. The second case is a new duality for 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) theories with matter in the antisymmetric tensor representation that arises from dimensional reduction of 4d N $$ \mathcal{N} $$ = 1 USp(2N) Csáki-Skiba-Schmaltz duality. It is shown that this duality is associated to a triangle type identity for any value of N. In all cases Boltzmann weights as well as interaction and normalization factors are completely determined. Finally, our relations are compared with those previously reported in the literature. |
| first_indexed | 2024-12-14T12:03:15Z |
| format | Article |
| id | doaj.art-9c3e6301fbb649f8909ccf540eae072f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T12:03:15Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9c3e6301fbb649f8909ccf540eae072f2022-12-21T23:01:56ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113110.1007/JHEP01(2021)023Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualitiesJ. de-la-Cruz-Moreno0H. García-Compeán1Physics Department, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalPhysics Department, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalAbstract Inspired by the gauge/YBE correspondence this paper derives some star-triangle type relations from dualities in 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) supersymmetric quiver gauge theories. To be precise, we study two cases. The first case is the Intriligator-Pouliot duality in 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) theories. The description is performed explicitly for N = 1, 2, 3, 4, 5 and also for N = 3k + 2, which generalizes the situation in N = 2, 5. For N = 1 a triangle identity is obtained. For N = 2, 5 it is found that the realization of duality implies slight variations of a star-triangle relation type (STR type). The values N = 3, 4 are associated to a similar version of the asymmetric STR. The second case is a new duality for 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) theories with matter in the antisymmetric tensor representation that arises from dimensional reduction of 4d N $$ \mathcal{N} $$ = 1 USp(2N) Csáki-Skiba-Schmaltz duality. It is shown that this duality is associated to a triangle type identity for any value of N. In all cases Boltzmann weights as well as interaction and normalization factors are completely determined. Finally, our relations are compared with those previously reported in the literature.https://doi.org/10.1007/JHEP01(2021)023Supersymmetry and DualityIntegrable Field TheoriesSupersymmetric Gauge Theory |
| spellingShingle | J. de-la-Cruz-Moreno H. García-Compeán Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities Journal of High Energy Physics Supersymmetry and Duality Integrable Field Theories Supersymmetric Gauge Theory |
| title | Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities |
| title_full | Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities |
| title_fullStr | Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities |
| title_full_unstemmed | Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities |
| title_short | Star-triangle type relations from 2d N $$ \mathcal{N} $$ = (0, 2) USp(2N) dualities |
| title_sort | star triangle type relations from 2d n mathcal n 0 2 usp 2n dualities |
| topic | Supersymmetry and Duality Integrable Field Theories Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP01(2021)023 |
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