论文标题
与物质的jackiw-teitelboim黑洞中变形的结构
Structure of deformations in Jackiw-Teitelboim black holes with matter
论文作者
论文摘要
我们认为具有无质量物质场的Jackiw-teitelboim重力,并打开散装激发,导致相应的双边界运算符的非平凡VEV。为了指导顺序,我们通过明确识别其希尔伯特空间来实现热菲尔德双状态的相应变形。可以在欧几里得时间演变中点插入操作员插入的情况下,在hartle-Hawking构造的背景下制备变形状态。我们表明,插入的操作员形成SL(2,{\ bf r})表示形式。我们构建一个与VEV变形的操作员基础直接相关的特定正规基础。如果我们包括较高的校正,则整体几何形状不再是左右对称性。我们认为,从经典上讲,散装变形中的模式系数无法从沿边界截止的数据中完全恢复 轨迹。然后,大量似乎包含的信息比截止边界更多,这可能是造成非平凡的落后自由度的原因。
We consider Jackiw-Teitelboim gravity with a massless matter field and turn on bulk excitations leading to a nontrivial vev of the corresponding dual boundary operator. To leading order, we realize the corresponding deformation of thermofield double state by explicitly identifying their Hilbert space. The deformed state can be prepared with an operator insertion at the mid-point of the Euclidean time evolution in the context of Hartle-Hawking construction. We show that the inserted operators form an SL(2,{\bf R}) representation. We construct a specific orthonormal basis that is directly related to the operator basis of the vev deformations. If we include the higher order corrections, the bulk geometry is no longer left-right symmetric. We argue that, classically, the mode coefficients in the bulk deformation cannot be fully recovered from the data collected along the boundary cutoff trajectories. Then the bulk seems to contain more information than the cutoff boundary, and this might be responsible for nontrivial behind-horizon degrees of freedom.