Conformal description of near-horizon vacuum states

被引:30
作者
Banks, Thomas [1 ,2 ]
Zurek, Kathryn M. [3 ]
机构
[1] Rutgers State Univ, Dept Phys, Piscataway, NJ 08854 USA
[2] Rutgers State Univ, NHETC, Piscataway, NJ 08854 USA
[3] CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USA
关键词
BLACK-HOLE ENTROPY;
D O I
10.1103/PhysRevD.104.126026
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Motivated by recent work suggesting observably large spacetime fluctuations in the causal development of an empty region of flat space, we conjecture that these metric fluctuations can be quantitatively described in terms of a conformal field theory of near-horizon vacuum states. One consequence of this conjecture is that fluctuations in the modular Hamiltonian Delta K of a causal diamond are equal to the entanglement entropy: h <Delta K-2 > = < K > = A(Sigma(d-2))/4G(d), where A(Sigma(d-2)) is the area of the entangling surface in d dimensions. Our conjecture applies to flat space, the cosmological horizon of dS, and AdS Ryu-Takayanagi diamonds, but not to large finite area diamonds in the bulk of AdS. We focus on three pieces of quantitative evidence, from a Randall-Sundrum II braneworld, from the conformal description of black hole horizons, and from the fluid-gravity correspondence. Our hypothesis also suggests that a broader range of formal results can be brought to bear on observables in flat and dS spaces.
引用
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页数:14
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