Friday's seminar

[Cond.Matt. & Stat.Mech.Section]

INFORMAL SEMINAR on   Statistical Physics
 

Friday, 17 June -    11:30  a.m.

 

Luigi Stasi Seminar Room,  ICTP Leonardo Building - 1st floor

 

 

B. BASU-MALLICK      ( Saha Institute of Nuclear Physics, Kolkata )

 

"Periodic boundary condition for a quantum integrable system with non-cubical configuration space"



Abstract

 

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.