Bethe algebra using pure spinors

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2025年2月12日

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Simon Ekhammar,
Dmytro Volin

摘要

We explore a ${\mathfrak {gl}}_{r}$ ${gl}_{r}$ -covariant parameterisation of Bethe algebra appearing in ${\mathfrak {so}}_{2r}$ ${so}_{2 r}$ 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.