期刊
CLASSICAL AND QUANTUM GRAVITY
卷 32, 期 6, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/6/065006
关键词
AdS/CFT; holography; entanglement
类别
资金
- World Premier International Research Center Initiative (WPI), MEXT, Japan
- Ramanujan fellowship, Govt. of India
Using the positivity of relative entropy arising from the Ryu-Takayanagi formula for spherical entangling surfaces, we obtain constraints at the nonlinear level for the gravitational dual. We calculate the Green's function necessary to compute the first order correction to the entangling surface and use this to find the relative entropy for non-constant stress tensors in a derivative expansion. We show that the Einstein value satisfies the positivity condition, while the multidimensional parameter space away from it gets constrained.
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