论文标题

检查使用HRT表面的体积法律熵

Checking volume-law entropy with HRT surfaces

论文作者

Guglielmo, Tyler, Nguyen, Phuc

论文摘要

我们正式检查,当应用于静态的黑色brane brane时空和不在恒定时间切片上的宽类次区域时,Hubeny-rangamani-takayanagi处方用于全息纠缠熵 - 在静态的子区域时 - 会在大型较大区域的极限上增加体积的法律熵。通过体积法的熵,我们的意思是,纠缠熵的尺度随边界子区域的投影相对于边界热状态的静态时间切片的体积(具有与静态时间切片的体积定律相同的系数)。我们的结果适用于具有反射对称性和条带的子区域,我们还提出了现场理论论证来支持我们的全息发现。

We check formally that the Hubeny-Rangamani-Takayanagi prescription for holographic entanglement entropy -- when applied to a static black brane spacetime and to a wide class of subregions that do not lie on a constant time slice -- gives rise to volume-law entropy in the limit of large subregion. By volume-law entropy, we mean that the entanglement entropy scales with the volume of the projection of the boundary subregion onto a static time slice with respect to the boundary thermal state (with the same coefficient as in the volume law on the static time slice). Our result applies to subregions that have reflection symmetry as well as strips, and we also present field-theoretic arguments in support of our holographic findings.

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