论文标题
散装纠缠熵和矩阵
Bulk Entanglement Entropy and Matrices
论文作者
论文摘要
Motivated by the Bekenstein Hawking formula and the area law behaviour of entanglement entropy, we propose that in any UV finite theory of quantum gravity with a smooth spacetime, the total entropy for a pure state in a co-dimension one spatial region, to leading order, is given by $S={A\over 4 G_N}$, where $A$ is the area of the co-dimension two boundary.在$ dp $ brane全息图的背景下，我们表明，对于某些特殊选择的区域，可以将批量的纠缠映射到边界理论中的``目标空间''纠缠。然后，我们的猜想会导致对目标空间的精确提议，以实现$ n $。在$ O（n^2）$自由度的系统中，在研究D0 Brane系统的最新数字进展中，希望该提案可以在将来以精确的方式进行测试。
Motivated by the Bekenstein Hawking formula and the area law behaviour of entanglement entropy, we propose that in any UV finite theory of quantum gravity with a smooth spacetime, the total entropy for a pure state in a co-dimension one spatial region, to leading order, is given by $S={A\over 4 G_N}$, where $A$ is the area of the co-dimension two boundary. In the context of $Dp$ brane holography we show that for some specially chosen regions bulk entanglement can be mapped to ``target space" entanglement in the boundary theory. Our conjecture then leads to a precise proposal for target space entanglement in the boundary theory at strong coupling and large $N$. In particular it leads to the conclusion that the target space entanglement would scale like $O(N^2)$ which is quite plausible in a system with $O(N^2)$ degrees of freedom. Recent numerical advances in studying the D0 brane system hold out the hope that this proposal can be tested in a precise way in the future.
