From Dunkl operators to spin chains

Oleg Chalykh (University of Leeds)

Thursday 7th August 16:00-17:00
Maths 116

Abstract

I will explain how on can use elliptic Dunkl operators and Cherednik algebra to prove integrability of an elliptic analogue of the celebrated Haldane-Shastry spin chain. This analogue was proposed by Inozemtsev in 1990, but the question about its integrability remained open. I will further describe its integrable deformation. Based on arXiv:2407.03276.

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