The fermionic point of the q-deformed Haldane-Shastry model
Didina Serban (Institut de Physique Théorique, Saclay)
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.
mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry
Audience: general audience
BIMSA Integrable Systems Seminar
Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.
Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Niсolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |