Supersymmetric Polychronakos Spin Chain: Motif, Distribution Function, and Character

Details Supersymmetric Polychronakos Spin Chain: Motif, Distribution Function, and Character Supersymmetric Polychronakos Spin Chain: Motif, Distribution Function, and Character

1999-04-28

arxiv.org/abs/math-ph/9904033v2

Nucl. Phys. B 566 [PM] (2000) 511--528

Physics

Mathematical Physics

24 pages + 1 figure, to appear in Nucl. Phys. B

Scientific paper

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-Szeg{\"o} polynomials which are closely related to the partition function of the $N$ spin chain, we give the representation for motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for $N\to \infty$ are briefly discussed.

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