Superspin Chains Solutions from 4D Chern-Simons Theory
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866907917389660160 |
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| author | Boujakhrout, Youssra Saidi, El Hassan Laamara, Rachid Ahl Drissi, Lalla Btissam |
| author_facet | Boujakhrout, Youssra Saidi, El Hassan Laamara, Rachid Ahl Drissi, Lalla Btissam |
| contents | As a generalisation of the correspondence linking 2D integrable systems with 4D Chern-Simons (CS) gauge theory, superspin chains are realized by means of crossing electric and magnetic super line defects in the 4D CS with super gauge symmetry. The oscillator realization of Lax operators solving the RLL relations of integrability is obtained in the gauge theory by extending the notion of Levi decomposition to Lie superalgebras. Based on particular 3-gradings of Lie superalgebras, we obtain graded oscillator Lax matrices for superspin chains with internal symmetries given by $A(m-1\mid n-1)$, $B(m\mid n)$, $C(n)$ and $D(m\mid n)$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04337 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Superspin Chains Solutions from 4D Chern-Simons Theory Boujakhrout, Youssra Saidi, El Hassan Laamara, Rachid Ahl Drissi, Lalla Btissam High Energy Physics - Theory As a generalisation of the correspondence linking 2D integrable systems with 4D Chern-Simons (CS) gauge theory, superspin chains are realized by means of crossing electric and magnetic super line defects in the 4D CS with super gauge symmetry. The oscillator realization of Lax operators solving the RLL relations of integrability is obtained in the gauge theory by extending the notion of Levi decomposition to Lie superalgebras. Based on particular 3-gradings of Lie superalgebras, we obtain graded oscillator Lax matrices for superspin chains with internal symmetries given by $A(m-1\mid n-1)$, $B(m\mid n)$, $C(n)$ and $D(m\mid n)$ |
| title | Superspin Chains Solutions from 4D Chern-Simons Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.04337 |