Supersymmetric Polychronakos spin chain: Motif, distribution function, and character

Kazuhiro Hikami, B. Basu-Mallick

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)511-528
Number of pages18
JournalNuclear Physics B
Issue number3
Publication statusPublished - Feb 7 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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