Lagrangian formulation of symmetric space sine-Gordon models
Lagrangian formulation of symmetric space sine-Gordon models
复制标题
对称空间正弦戈登模型的拉格朗日公式
DOI：
10.1016/0370-2693(96)00026-3
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发表时间：
1995
影响因子：
4.4
通讯作者：
H. Shin
中科院分区：
文献类型：
--
作者：
I. Bakas;Q. Park;H. Shin
对称空间正弦戈登模型是由普通的2-dim σ-模型的保角化简而得到的，它们是可积的，在目标空间中表现出黑洞型度量。我们通过考虑李群F、G、H的三重态给出了这些系统的拉格朗日公式。我们证明了对于每一个对称空间F G，广义正弦戈登模型可以由G H、WZW作用，加上一个代数上指定的势项导出。因此，对称空间正弦-戈登模型在经典水平上描述了协集共形场论的某些可积扰动。我们还简要讨论了它们的真空结构、Bäcklund变换和孤子解。
The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim σ-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F ⊃ G ⊃ H. We show that for every symmetric space F G , the generalized sine-Gordon models can be derived from the G H WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Bäcklund transformations, and soliton solutions.