An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
复制标题
XXZ 和 Sine-Gordon 模型缺陷的代数设定
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
R. Weston
中科院分区：
文献类型：
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作者：
R. Weston
我们利用量子仿射sl_2的表示理论构造了XXZ模型和sine-Gordon模型中的缺陷。所涉及的陈述是广义的无限维，q-振荡器表示中使用的建设Q-运营商。我们提出了新的结果，这些表示的缠绕，并使用它们来考虑量子自旋链哈密顿与缺陷和量子缺陷的sine-Gordon模型。我们连接专业化我们的结果与工作的科里根和Zambon的I型和II型缺陷，并提出正弦戈登孤子/缺陷和候选缺陷/缺陷散射矩阵。
We construct defects in the XXZ and sine-Gordon models by making use of the representation theory of quantum affine sl_2. The representations involved are generalisations of the infinite-dimensional, q-oscillator representations used in the construction of Q-operators. We present new results for intertwiners of these representations, and use them to consider both quantum spin-chain Hamiltonians with defects and quantum defects in the sine-Gordon model. We connect specialisations our results with the work of Corrigan and Zambon on type I and type II defects, and present sine-Gordon soliton/defect and candidate defect/defect scattering matrices.
正弦戈登模型中一对融合的可积缺陷的传输矩阵
DOI：
10.1088/1751-8113/43/34/345201
发表时间：
2010
期刊：
Journal of Physics A: Mathematical and Theoretical
影响因子：
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作者：
Edward Corrigan;C. Zambon
通讯作者：
C. Zambon