Almheiri-Polchinski模型的变形
Deformations of the Almheiri-Polchinski model
摘要：
利用Yang-Baxter变形技术研究了Almheiri-Polchinski（AP）模型的变形.一般变形AdS $_2$度量成为变形AP模型的解。特别是，从一个简单的二次型的双曲函数型潜在的变形类似于可积变形的双曲函数型潜力。一个特殊的解是变形的黑洞解。由于变形使边界周围的时空结构发生剧烈变化，出现新的裸奇点，全息解释远非微不足道。霍金温度与未变形的情况相同，但由于变形，Bekenstein-Hawking熵被修改。这个熵也可以通过在奇点附近的正则化屏幕上用适当的反项来计算重整化应力张量来重现。
英文摘要：
We study deformations of the Almheiri-Polchinski (AP) model by employing the Yang-Baxter deformation technique. The general deformed AdS$_2$ metric becomes a solution of a deformed AP model. In particular, the dilaton potential is deformed from a simple quadratic form to a hyperbolic function-type potential similarly to integrable deformations. A specific solution is a deformed black hole solution. Because the deformation makes the spacetime structure around the boundary change drastically and a new naked singularity appears, the holographic interpretation is far from trivial. The Hawking temperature is the same as the undeformed case but the Bekenstein-Hawking entropy is modified due to the deformation. This entropy can also be reproduced by evaluating the renormalized stress tensor with an appropriate counter term on the regularized screen close to the singularity.
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