Comments on black hole interiors and modular inclusions
Comments on black hole interiors and modular inclusions
复制标题
对黑洞内部和模块化内含物的评论
作者：
R. Jefferson
我们展示了双迹诱导的可穿越虫洞
热场双态的变形可以理解为
外算子代数的模包含。的影响
这种变形是一个新的时空区域的创造，
体，对应于左和右之间的非平凡中心，
右代数这种设置提供了一个精确的框架，
研究黑洞内部是如何在CFT中编码的。在
特别是，我们使用模块化理论来证明，状态依赖
是任何试图代表运营商背后的一个不可避免的特征
地平线基于这种几何结构，我们提出，
模块化内含物可以提供更精确的研究方法，
纠缠和几何之间的新生关系，
涌现时空范式
We show how the traversable wormhole induced by a double-trace
deformation of the thermofield double state can be understood as a
modular inclusion of the algebras of exterior operators. The effect of
this deformation is the creation of a new region of spacetime deep in
the bulk, corresponding to a non-trivial center between the left and
right algebras. This set-up provides a precise framework for
investigating how black hole interiors are encoded in the CFT. In
particular, we use modular theory to demonstrate that state dependence
is an inevitable feature of any attempt to represent operators behind
the horizon. Building on this geometrical structure, we propose that
modular inclusions may provide a more precise means of investigating the
nascent relationship between entanglement and geometry in the context of
the emergent spacetime paradigm.