论文标题
旋转拓扑黑洞的Rényi熵的全息计算
Holographic calculations of Rényi entropy from rotating topological black holes
论文作者
论文摘要
我们通过属于Petrov Type-D类的旋转拓扑黑洞的全息计算，构建了一种名为“旋转Rényi熵”的新的纠缠措施，我们计算了双CFT中真空状态的球形纠缠表面的这种熵。我们发现，后者可以在旋转拓扑黑洞的边界几何形状上以某个温度的形式将其共同转换为热状态。然后，根据散装黑洞的角速度，我们在边界热力学中引入了化学电位，该动力学出现在广义的rényi熵的定义中，并以化学势和复制参数呈现了这种广义的Rényi熵的行为。
We construct a new class of entanglement measures named "rotating Rényi entropy" by the holographic calculation of a rotating topological black hole belonging to the Petrov type-D class, we compute this kind of entropy for a spherical entangling surface of a vacuum state in the dual CFT. We find that the latter one could be conformally transformed to a thermal state on the boundary geometry of the rotating topological black hole with certain temperature. Then according to the angular velocity of the bulk black hole, we introduce the chemical potential in the boundary thermodynamics, which appears in the definition of the generalized Rényi entropy, and we presented the behaviors of this generalized Rényi entropy with the chemical potential and replica parameters.
