Abstract

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 | n − 1), B(m | n), C(n) and D(m | n).

Details

Title
Superspin chains solutions from 4D Chern-Simons theory
Author
Boujakhrout, Y. 1   VIAFID ORCID Logo  ; Saidi, E. H 1   VIAFID ORCID Logo  ; Laamara, R. Ahl 1   VIAFID ORCID Logo  ; Drissi, L. B 1   VIAFID ORCID Logo 

1  Mohammed V University in Rabat, LPHE-MS, Science Faculty, Rabat, Morocco (GRID:grid.31143.34) (ISNI:0000 0001 2168 4024); CPM, Mohammed V University in Rabat, Centre of Physics and Mathematics, Rabat, Morocco (GRID:grid.31143.34) (ISNI:0000 0001 2168 4024) 
Pages
43
Publication year
2024
Publication date
Apr 2024
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP04(2024)043
ProQuest document ID
3035332609
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.