论文标题
全息$ CFT $ S的精确热相关器
Exact thermal correlators of holographic $CFT$s
论文作者
论文摘要
我们分别使用全息图分别计算出具有化学势和角动量的热$ CFT $ S中的精确智障Green的功能。我们考虑在$ ads $ spacetime中充电和旋转黑洞中的准正常模式满足的场方程，并通过适当的变量更改将它们映射到HEUN方程。 AGT通信使我们能够使用Liouville $ CFT $中的五点相关器的交叉关系，在不同奇点附近的Heun方程解决方案之间找到连接公式。与散装场方程上施加的边界条件相关的连接公式产生了边界$ CFT $中的精确热相关器。
We compute the exact retarded Green's functions in thermal $CFT$s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating black holes in $AdS$ spacetime and mapped them to the Heun equations by appropriate changes of variables. The AGT correspondence allows us to find the connection formulae among the solutions of the Heun equations near different singularities by using the crossing relations of the five-point correlators in the Liouville $CFT$. The connection formulae associated with the boundary conditions imposed on the bulk field equations yield the exact thermal correlators in the boundary $CFT$.
