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

Kazuhiro Hikami, B. Basu-Mallick

Research output: Contribution to journalArticle

26 Citations (Scopus)

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-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
Volume566
Issue number3
DOIs
Publication statusPublished - Feb 7 2000
Externally publishedYes

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distribution functions
elementary excitations
partitions
polynomials
fine structure
diagrams

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Supersymmetric Polychronakos spin chain : Motif, distribution function, and character. / Hikami, Kazuhiro; Basu-Mallick, B.

In: Nuclear Physics B, Vol. 566, No. 3, 07.02.2000, p. 511-528.

Research output: Contribution to journalArticle

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