Superspin Chains Solutions from 4D Chern-Simons Theory
High Energy Physics - Theory
2024-05-30 v2
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 , , and
Cite
@article{arxiv.2309.04337,
title = {Superspin Chains Solutions from 4D Chern-Simons Theory},
author = {Youssra Boujakhrout and El Hassan Saidi and Rachid Ahl Laamara and Lalla Btissam Drissi},
journal= {arXiv preprint arXiv:2309.04337},
year = {2024}
}
Comments
Added Appendix, Revised solution (2.27), Corrected typos