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

Abstract

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{ö} 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.

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

References in corpus (1)

• Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model

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