Degeneracy patterns and hyper-multiplet structure in the spectrum of the su(m|n) supersymmetric Polychronakos spin chain are studied by use of the "motif". Using the recursion relation of the supersymmetric Rogers-Szegö polynomials which are closely related to the partition function of the N spin chain, we give the representation for the motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for N → ∞ are briefly discussed.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics