Integrable Deformations of T-Dual σ Models.

Integrable Deformations of T-Dual σ Models.
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DOI:
10.1103/physrevlett.117.251602
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发表时间:
2016-09
影响因子:
8.6
通讯作者:
R. Borsato;L. Wulff
R. Borsato;L. Wulff
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
R. Borsato;L. Wulff

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本文提出了一种使二维σ模型的T_∞(一般非阿贝尔)变形的方法,它保持了经典的可积性.变形后的模型通过对偶子代数上的线性算子ω来识别,该算子满足2-上循环条件。通过场的重新定义,我们证明了当ω可逆时,所谓的齐次Yang-Baxter变形等价于我们的变形模型.我们详细解释了主手征模型T_∞的变形,并给出了相应的推广到超陪集模型的情况。
We present a method to deform (generically non-Abelian) T duals of two-dimensional σ models, which preserves classical integrability. The deformed models are identified by a linear operator ω on the dualized subalgebra, which satisfies the 2-cocycle condition. We prove that the so-called homogeneous Yang-Baxter deformations are equivalent, via a field redefinition, to our deformed models when ω is invertible. We explain the details for deformations of T duals of principal chiral models, and present the corresponding generalization to the case of supercoset models.