Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 32, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/6/065006
Keywords
AdS/CFT; holography; entanglement
Categories
Funding
- World Premier International Research Center Initiative (WPI), MEXT, Japan
- Ramanujan fellowship, Govt. of India
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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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