论文标题
Euclidean Black string的$λ$ - 定性
Integrable $λ$-deformations of the Euclidean black string
论文作者
论文摘要
非平凡的外代代数自动形态可用于（测量）WZW模型的$λ$ - 定性，从而提供了一种有效的方法来构建新的可集成模型。我们提供了两个具有矢量和轴向残差量规的精确coset Cft $ su（2）_K \ times u（1）/u（1）/u（1）/u（1）/u（1）/u（1）/u（1）/u（1）/u（1）/u（times u（1）_k \ times u（times u（1）_k \ times u（times u（1）），我们提供了两个。除了整数级别$ k $和变形参数$λ$之外，这些型号的特征是$ u（1）$ factor的嵌入参数$ q $。我们表明，轴向矢量t偶（沿变形持续存在，因此模型在规范上是等效的。即使空间不对称，我们也证明了集成性，并计算了参数$λ$和$ q $的$ rg $ - 流程方程。我们的示例提供了代表欧几里得三维黑线的重力溶液的可集成变形。
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.
