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Integrable λ-deformations of the Euclidean black string

机译:可集成的λ -deformations

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Non-trivial outer algebra automorphisms may be utilized inλ-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable deformations of the exact coset CFTSU(2)k×U(1)/U(1)qwith a vector and axial residual gauge. Besides the integer levelkand the deformation parameterλ, these models are characterized by the embedding parameterqof theU(1)factor. We show that an axial-vector T-duality persists along the deformations and, therefore, the models are canonically equivalent. We demonstrate integrability even though the space is non-symmetric and compute theRG-flow equations for the parametersλandq. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string.
机译:可以利用非平凡的外部代数自同质的(测量)WZW模型的λ-变形,从而提供一种构建新的可积模型的有效方法。我们提供了两种如此如此的这种如此如此可集成的QFTSU(2)k×U(1)/ U(1)Qwith载体和轴向残留量表。除了整数levelk和变形参数λ之外,这些模型的特征在于嵌入ParameterQof TheU(1)因子。我们表明轴向矢量T-Diuality沿着变形持续存在,因此,模型是Conononally等同的。我们展示了可积分,即使空间是非对称的,也可以计算参数λAndq的Therg-流量方程。我们的示例提供了代表Euclidean三维黑色串的重力解决方案的可完整变形。

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