Exact partition function of SU (m|n) supersymmetric Haldane-Shastry spin chain

被引：39

作者：

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

Bondyopadhaya, Nilanjan ^{[1
]}

机构：

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

来源：

NUCLEAR PHYSICS B | 2006年 / 757卷 / 03期

关键词：

D O I：

10.1016/j.nuclphysb.2006.09.009

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 taking the freezing limit of a spin Calogero-Sutherland model containing 'anyon like' representation of the permutation algebra, we derive the exact partition function of SU(m vertical bar n) supersymmetric Haldane-Shastry (HS) spin chain. This partition function allows us to study global properties of the spectrum like level density distribution and nearest neighbour spacing distribution. It is found that, for supersymmetric HS spin chains with large number of lattice sites, continuous part of the energy level density obeys Gaussian distribution with a high degree of accuracy. The mean value and standard deviation of such Gaussian distribution can be calculated exactly. We also conjecture that the partition function of supersymmetric HS spin chain satisfies a duality relation under the exchange of bosonic and fermionic spin degrees of freedom. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：280 / 302

页数：23

共 26 条

[1] gl(n vertical bar m) color Calogero-Sutherland models and super Yangian algebra [J].

Ahn, C ;

Koo, WM .

PHYSICS LETTERS B, 1996, 365 (1-4) :105-112

[2]

Andrews G. E., 1976, THEORY PARTITIONS

[3] Symmetries and exact solutions of some integrable Haldane-Shastry-like spin chains [J].

Basu-Mallick, B .

NUCLEAR PHYSICS B, 1999, 540 (03) :679-704

[4] Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model [J].

Basu-Mallick, B ;

Ujino, H ;

Wadati, M .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (10) :3219-3226

[5] Spin-dependent extension of Calogero-Sutherland model through anyon-like representations of permutation operators [J].

BasuMallick, B .

NUCLEAR PHYSICS B, 1996, 482 (03) :713-730

[6]

BENARD D, 1993, J PHYS A, V26, P5219

[7] LEVEL CLUSTERING IN REGULAR SPECTRUM [J].

BERRY, MV ;

TABOR, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686) :375-394

[8]

CALOGERO F, 1978, COMMUN MATH PHYS, V59, P109, DOI 10.1007/BF01614245

[9] Global properties of the spectrum of the Haldane-Shastry spin chain -: art. no. 174411 [J].

Finkel, F ;

González-López, A .

PHYSICAL REVIEW B, 2005, 72 (17)

[10]

HA ZNC, 1996, QUANTAM MANY BODY SY, V12

← 1 2 3 →