Bethe Algebra using Pure Spinors

Authors: Simon Ekhammar, Dmytro Volin

Preprint number: UUITP-19/21

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.