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摘要翻译：
分析了SU（mn）超对称Haldane-Shastry自旋链的基态和低能激发。在热力学极限下，发现只有SU(m0)和SU(m1)自旋链的基态简并度是有限的，而低能和低动量激发的色散关系对所有m和n值都是线性的。我们证明了SU(m1)自旋链的低能激发是由m个非相互作用狄拉克费米子的共形场理论描述的，这些费米子只有正能量；这个理论的中心电荷是m/2。最后，对n\Ge1,在低温下，在热力学极限下，表明了SU（mn）Haldane-Shastry自旋链和SU（mn）Polychronakos自旋链的配分函数是简单相关的。
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英文标题：
《Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin
chain》
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作者：
B. Basu-Mallick, Nilanjan Bondyopadhaya, Diptiman Sen
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Exactly Solvable and Integrable Systems 精确可解可积系统
分类描述：Exactly solvable systems, integrable PDEs, integrable ODEs, Painleve analysis, integrable discrete maps, solvable lattice models, integrable quantum systems
精确可解系统，可积偏微分方程，可积偏微分方程，Painleve分析，可积离散映射，可解格模型，可积量子系统
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英文摘要：
The ground state and low energy excitations of the SU(m|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|0) and SU(m|1) spin chains, while the dispersion relation for the low energy and low momentum excitations is linear for all values of m and n. We show that the low energy excitations of the SU(m|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 \ge 1, the partition functions of the SU(m|n) Haldane-Shastry spin chain and the SU(m|n) Polychronakos spin chain are shown to be related in a simple way in the thermodynamic limit at low temperatures.
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PDF链接：
https://arxiv.org/pdf/710.0452
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