de Boer Jan, Heller Michal P, Myers Robert C, Neiman Yasha
Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, Netherlands.
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
Phys Rev Lett. 2016 Feb 12;116(6):061602. doi: 10.1103/PhysRevLett.116.061602. Epub 2016 Feb 10.
We demonstrate that, for general conformal field theories (CFTs), the entanglement for small perturbations of the vacuum is organized in a novel holographic way. For spherical entangling regions in a constant time slice, perturbations in the entanglement entropy are solutions of a Klein-Gordon equation in an auxiliary de Sitter (dS) spacetime. The role of the emergent timelike direction in dS spacetime is played by the size of the entangling sphere. For CFTs with extra conserved charges, e.g., higher-spin charges, we show that each charge gives rise to a separate dynamical scalar field in dS spacetime.
我们证明，对于一般的共形场论（CFT），真空小扰动的纠缠是以一种新颖的全息方式组织起来的。对于恒定时间切片中的球形纠缠区域，纠缠熵的扰动是辅助德西特（dS）时空中克莱因 - 戈登方程的解。dS时空中出现的类时方向的作用由纠缠球的大小扮演。对于具有额外守恒荷（例如高自旋荷）的CFT，我们表明每个荷在dS时空中都会产生一个单独的动力学标量场。
