Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain

被引：29

作者：

Basu-Mallick, B. ^{[1
]}

Bondyopadhaya, Nilanjan ^{[1
]}

Sen, Diptiman ^{[2
]}

机构：

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

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

来源：

NUCLEAR PHYSICS B | 2008年 / 795卷 / 03期

关键词：

Haldane-Shastry spin chain; partition function; low energy excitations; conformal field theory;

D O I：

10.1016/j.nuclphysb.2007.11.021

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：

The ground state and low energy excitations of the SU(m vertical bar n) supersymmetric Haldane-Shastry spin chain are analyzed. In the thermodynamic limit, it is found that the ground state degeneracy is finite only for the SU(m vertical bar 0) and SU(m vertical bar 1) spin chains, while the dispersion relation for the low energy and low momentum excitations is linear for all values of in and n. We show that the low energy excitations of the SU(m vertical bar 1) spin chain are described by a conformal field theory of m non-interacting Dirac fermions which have only positive energies; the central charge of this theory is m/2. Finally, for n >= 1, the partition functions of the SU(m vertical bar n) Haldane-Shastry spin chain and the SU(m vertical bar n) Polychronakos spin chain are shown to be related in a simple way in the thermodynamic limit at low temperatures. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：596 / 622

页数：27

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