Quantum Spin Models and Extended Conformal Algebras
Quantum Spin Models and Extended Conformal Algebras
复制标题
量子自旋模型和扩展共形代数
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
A. Honecker
中科院分区：
文献类型：
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作者：
A. Honecker
首先，讨论了可积性的一个代数判据——所谓的“超可积性”，并得到了基于sl(2)的超可积量子自旋哈密顿子分类的一些结果。
First, an algebraic criterion for integrability is discussed -the so-called `superintegrability'- and some results on the classification of superintegrable quantum spin Hamiltonians based on sl(2) are obtained.
Next, the massive phases of the Z_n-chiral Potts quantum spin chain (a model that violates parity) are studied in detail. It is shown that the excitation spectrum of the massive high-temperature phase can be explained in terms of n-1 fundamental quasiparticles. We compute correlation functions from a perturbative and numerical evaluation of the groundstate for the Z_3-chain. In addition to an exponential decay we observe an oscillating contribution. The oscillation length seems to be related to the asymmetry of the dispersion relations. We show that this relation is exact at special values of the parameters for general Z_n using a form factor expansion.
Finally, we discuss several aspects of extended conformal algebras (W-algebras). We observe an analogy between boundary conditions for Z_n-spin chains and W-algebras and then turn to statements about the structure of W-algebras. In particular, we briefly summarize results on unifying structures present in the space of all quantum W-algebras.