Non-trivial outer algebra automorphisms may be utilized in λ-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 CFT $SU{(2)}_k\times U(1)/U{(1)}_q$ with a vector and axial residual gauge. Besides the integer level k and the deformation parameter λ, these models are characterized by the embedding parameter q of the $U(1)$ 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 the RG-flow equations for the parameters λ and q. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string.

非平凡的外部代数自同构可以用在（度量的）WZW模型的λ变形中，从而提供了构造新的可积分模型的有效方法。我们提供了精确的coset CFT的两个这样的可积分变形$\mathrm{小号}ü{（2）}_{ķ}\times ü（\mathrm{1个}）/ü{（\mathrm{1个}）}_q$带有矢量和轴向残差规。除了整数水平ķ和变形参数λ，这些模型的特征是嵌入参数q的$ü（\mathrm{1个}）$因子。我们表明，轴向矢量T对偶沿变形持续存在，因此，这些模型是正则等效的。即使空间是非对称的，我们也证明了可积性，并针对参数λ和q计算了RG流方程。我们的示例提供了表示欧几里得三维黑弦的引力解的可积分变形。