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- Title
Entanglement entropy in cubic gravitational theories.
- Authors
Cáceres, Elena; Vásquez, Rodrigo Castillo; López, Alejandro Vilar
- Abstract
We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called splitting problem manifests itself, and we explicitly show that the two common splittings present in the literature — minimal and non-minimal — produce different functionals. We apply our results to the particular examples of a boundary disk and a boundary strip in a state dual to 4- dimensional Poincaré AdS in Einsteinian Cubic Gravity, obtaining the bulk entanglement surface for both functionals and finding that causal wedge inclusion is respected for both splittings and a wide range of values of the cubic coupling.
- Subjects
ENTROPY; FUNCTIONALS; GRAVITY; GRAVITATIONAL potential; WEDGES; ADVERTISING
- Publication
Journal of High Energy Physics, 2021, Vol 2021, Issue 5, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP05(2021)186