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

被引：24

作者：

Basu-Mallick, B.

Bondyopadhaya, Nilanjan

Hikami, Kazuhiro

Sen, Diptiman

机构：

[1] Saha Inst Nucl Phys, Theory Grp, Kolkata 700064, W Bengal, India

[2] Univ Tokyo, Grad Sch Sci, Dept Phys, Tokyo 1130033, Japan

[3] Ctr High Energy Phys, Indian Inst Sci, Bangalore 560012, Karnataka, India

来源：

NUCLEAR PHYSICS B | 2007年 / 782卷 / 03期

关键词：

Haldane-Shastry spin chain; boson-fermion duality; partition function; supersymmetry;

D O I：

10.1016/j.nuclphysb.2007.05.007

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 by product 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. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：276 / 295

页数：20

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