Bethe Algebra using Pure Spinors
Mathematical Physics
2023-04-04 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We propose a gl(r)-covariant parameterisation of Bethe algebra appearing in so(2r) integrable models, demonstrate its geometric origin from a fused flag, and use it to compute the spectrum of periodic rational spin chains, for various choices of the rank r and Drinfeld polynomials.
Keywords
Cite
@article{arxiv.2104.04539,
title = {Bethe Algebra using Pure Spinors},
author = {Simon Ekhammar and Dmytro Volin},
journal= {arXiv preprint arXiv:2104.04539},
year = {2023}
}
Comments
v2: Major revision. Detailed explanations and derivations are added. 26 pages, Mathematica notebook is attached