Boson-fermion duality in SU (m | n) supersymmetric Haldane-Shastry spin chain

B. Basu-Mallick, Nilanjan Bondyopadhaya, Kazuhiro Hikami, Diptiman Sen

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

By using the Y (gl (m | n)) super Yangian symmetry of the SU (m | n) supersymmetric Haldane-Shastry spin chain, we show that the partition function of this model satisfies a duality relation under the exchange of bosonic and fermionic spin degrees of freedom. As a byproduct of this study of the duality relation, we find a novel combinatorial formula for the super Schur polynomials associated with some irreducible representations of the Y (gl (m | n)) Yangian algebra. Finally, we reveal an intimate connection between the global SU (m | n) symmetry of a spin chain and the boson-fermion duality relation.

Original languageEnglish
Pages (from-to)276-295
Number of pages20
JournalNuclear Physics B
Volume782
Issue number3
DOIs
Publication statusPublished - Oct 22 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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