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

18 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

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bosons
fermions
symmetry
partitions
polynomials
algebra
degrees of freedom

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Boson-fermion duality in SU (m | n) supersymmetric Haldane-Shastry spin chain. / Basu-Mallick, B.; Bondyopadhaya, Nilanjan; Hikami, Kazuhiro; Sen, Diptiman.

In: Nuclear Physics B, Vol. 782, No. 3, 22.10.2007, p. 276-295.

Research output: Contribution to journalArticle

Basu-Mallick, B. ; Bondyopadhaya, Nilanjan ; Hikami, Kazuhiro ; Sen, Diptiman. / Boson-fermion duality in SU (m | n) supersymmetric Haldane-Shastry spin chain. In: Nuclear Physics B. 2007 ; Vol. 782, No. 3. pp. 276-295.
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