Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions

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Abstract

We consider the symmetry of lattice su(n) spin systems with inverse square exchange; the Haldane-Shastry model and the Polychronakos-Frahm model. It is shown that both systems have yangian symmetry for a finite number of sites. Based on the yangian symmetry the energy spectrum is considered. Furthermore the representation for motifs and the relations with the Virasoro character for su(n) level-1 Wess-Zumino- Witten theory are discussed.

Original languageEnglish
Pages (from-to)530-548
Number of pages19
JournalNuclear Physics, Section B
Volume441
Issue number3
DOIs
Publication statusPublished - May 15 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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