BIMSA > BIMSA Integrable Systems Seminar The fermionic point of the q-deformed Haldane-Shastry model
The fermionic point of the q-deformed Haldane-Shastry model
Organizers
Andrii Liashyk , Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Didina Serban
Time
Tuesday, January 6, 2026 4:00 PM - 5:00 PM
Venue
A6-101
Online
Zoom 873 9209 0711 (BIMSA)
Abstract
The talk will present an integrable anisotropic (XXZ-like) deformation of the Haldane-Shastry spin chain. Thanks to the long-range nature of the spin-spin interaction, the chain possesses quantum affine symmetry that q-deforms the Yangian symmetry. At q=i the model can be written in terms of non-unitary fermions, and the symmetry becomes extended gl(1|1) symmetry. The spectrum is radically different for even and odd lengths of the chain. In the former case all the conserved quantities are nilpotent, in the latter the dispersion relation is linear and the spectrum displays features of fractional statistics.