论文标题

圆环自由CFT的纠缠熵的全息描述

Holographic description of entanglement entropy of free CFT on torus

论文作者

Tsujimura, Jun

论文摘要

Ryu-Takayanagi猜想为半古典限制中强耦合全息CFT的纠缠熵提供了全息描述。它提出纠缠熵是由双体积中最小同源表面的面积给出的。我们表明,可以通过BTZ SpaceTime中极端表面的签名区域的总和来描述,在高温扩张中的圆环中的纠缠熵的常见术语。所得的EE和相应的骨架表面具有优选的特性,而不是Ryu-Takayanagi猜想的属性。

The Ryu-Takayanagi conjecture provides a holographic description for the entanglement entropy for the strongly coupled holographic CFTs in the semi-classical limit. It proposes that the entanglement entropy is given by the area of the minimal homologous surface in the dual bulk. We show that the common terms of the entanglement entropy for the free massless fermions or bosons on a torus in the high-temperature expansion can be described by the sum of the signed area of extremal surfaces in the BTZ spacetime. The resulting EE and the corresponding bunch of the exgremal surfaces have preferable properties rather than those from the Ryu-Takayanagi conjecture.

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