Abstract
Abstract We examine the de Sitter entropy in the braneworld model with the Gauss–Bonnet/Lovelock terms. We find that the de Sitter entropy computed through the Euclidean action exactly coincides with the holographic entanglement entropy.
Highlights
IntroductionIn the development of adS/CFT correspondence [1,2,3], a remarkable one is the RyuTakayanagi proposal for the holographic entanglement entropy [4]
In the development of adS/CFT correspondence [1,2,3], a remarkable one is the RyuTakayanagi proposal for the holographic entanglement entropy [4]. This is regarded as a natural extension of the Bekenstein-Hawking entropy for the black hole to general cases based on the holographic aspect
The braneworld model inspired by string theory has the holographic feature [5, 6]
Summary
In the development of adS/CFT correspondence [1,2,3], a remarkable one is the RyuTakayanagi proposal for the holographic entanglement entropy [4]. Recent hybrid formulation of adS/CFT(or adS/BCFT [7]) and braneworld, say Island formula, may be able to offer the solution to the information loss paradox in black hole evapolation [8] (See Refs [9,10,11]). [13], the authors showed the exact agreement between the deSitter entropy computed from the Eucliedan path integral [14] and the Ryu-Takayanagi formula for holographic entanglement entropy (See [15]). They founds a disagreement between them in the braneworld model with the Gauss-Bonnet term.
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