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.
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Cáceres, E., Vásquez, R.C. & López, A.V. Entanglement entropy in cubic gravitational theories. J. High Energ. Phys. 2021, 186 (2021). https://doi.org/10.1007/JHEP05(2021)186
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DOI: https://doi.org/10.1007/JHEP05(2021)186