论文标题
大$ c $ virasoro身份块是半古典的liouville相关器
The Large-$c$ Virasoro Identity Block is a Semi-Classical Liouville Correlator
论文作者
论文摘要
可以在分析上表明，在有效的背景几何形状上，光算子的相关函数给出了混合重型相关器中混合重型相关器的身份块的光扇区。这种几何形状是由重型操作员的存在而产生的。结果表明，这种背景几何形状是通过相应的重顶点操作员来源的Liouville运动方程的解决方案，随后，身份块的光门在半古典限制中与Liouville相关函数匹配。该方法有效地捕获了爱因斯坦重力的精神，作为ADS/CFT中动力学几何学的理论。原因是liouville理论与半古典的渐近广告密切相关。
It will be shown analytically that the light sector of the identity block of a mixed heavy-light correlator in the large central charge limit is given by a correlation function of light operators on an effective background geometry. This geometry is generated by the presence of the heavy operators. It is shown that this background geometry is a solution to the Liouville equation of motion sourced by corresponding heavy vertex operators and subsequently that the light sector of the identity block matches the Liouville correlation function in the semi-classical limit. This method effectively captures the spirit of Einstein gravity as a theory of dynamical geometry in AdS/CFT. The reason being that Liouville theory is closely related to semi-classical asymptotically AdS$_3$ gravity.
