Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
High Energy Physics - Theory
2024-10-01 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We continue the survey initiated in arXiv:2012.14197 to explore the Bethe/Gauge correspondence between supersymmetric SO/Sp gauge theories in 2d/3d/4d and open spin chain with integrable boundaries. We collect the known Bethe ansatz equations of different types of spin chains with general boundaries that have been analyzed in the literature, and compare them with the vacua equations of the quiver gauge theories. It seems that not all the vacua equations of quiver gauge theory with BCD-type gauge groups can be realized as some known Bethe ansatz equations of integrable spin chain models.
Cite
@article{arxiv.2401.00764,
title = {Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries},
author = {Ziwei Wang and Rui-Dong Zhu},
journal= {arXiv preprint arXiv:2401.00764},
year = {2024}
}
Comments
24+6 pages; Remark added in conclusion section