Abstract
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).
Publisher
Springer Science and Business Media LLC
Reference54 articles.
1. K. Costello, Integrable lattice models from four-dimensional field theories, Proc. Symp. Pure Math. 88 (2014) 3 [arXiv:1308.0370] [INSPIRE].
2. E. Witten, Integrable Lattice Models From Gauge Theory, Adv. Theor. Math. Phys. 21 (2017) 1819 [arXiv:1611.00592] [INSPIRE].
3. K. Costello, E. Witten and M. Yamazaki, Gauge Theory and Integrability, I, ICCM Not. 06 (2018) 46 [arXiv:1709.09993] [INSPIRE].
4. K. Costello, E. Witten and M. Yamazaki, Gauge Theory and Integrability, II, ICCM Not. 06 (2018) 120 [arXiv:1802.01579] [INSPIRE].
5. K. Costello and M. Yamazaki, Gauge Theory And Integrability, III, arXiv:1908.02289 [INSPIRE].
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