Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik



Rob Klabbers und Jules Lamers


The deformed Inozemtsev spin chain.


Abstract: We present two new quantum-integrable models with long-range spin interactions. First, a partially isotropic (xxz-type) spin chain that unifies the Inozemtsev and partially isotropic Haldane–Shastry chains. Its short-range limit is a variant of the twisted Heisenberg xxz chain. Second, a quantum many-body system that generalises the elliptic Ruijsenaars model by including spins with interactions mediated by dynamical R-matrices. It unifies the elliptic Calogero–Sutherland and trigonometric Ruijsenaars–Macdonald models with spins, and gives our spin chain by ‘freezing’.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2023-01


8 pp.