Bethe Algebra using Pure Spinors
arXiv:2104.04539
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.
v2: Major revision. Detailed explanations and derivations are added. 26 pages, Mathematica notebook is attached