Informal seminar on Statistical Physics: "Periodic boundary condition for a quantum integrable system with non-cubical configuration space"
Starts 17 Jun 2011 12:30
Ends 17 Jun 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
Configuration spaces of some quantum integrable systems with singular interactions can be determined by analysing the nature of such singularity. In this talk, we discuss how the interactions of spin Sutherland model associated with the D_N type of root system lead to a Weyl-invariant configuration space, which is a N-dimensional generalization of the rhombic dodecahedron. Imposing periodic boundary condition on this nontrivial configuration space, we derive the spectrum of spin Sutherland model of D_N type. Applying the freezing trick, subsequently we obtain an exact expression for the partition function of the related Haldane-Shastry type spin chain.
References: BBM, Artemio González-López and Federico Finkel, Nucl. Phys. B 843 (2011) 505 and Nucl. Phys. B 812 (2009) 402.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 firstname.lastname@example.org