4.5 Article

Entanglement entropy in cubic gravitational theories

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP05(2021)186

Keywords

AdS-CFT Correspondence; Gauge-gravity correspondence

Funding

  1. National Science Foundation (NSF) [PHY1820712]
  2. NSF [PHY-1620610]
  3. Spanish MECD fellowship [FPU16/06675]
  4. MINECO [FPA2017-84436-P]
  5. Xunta de Galicia [ED431C 2017/07]
  6. European Union (European Regional Development Fund - ERDF)
  7. Maria de Maeztu Units of Excellence [MDM2016-0692]
  8. Spanish Research State Agency

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The study derives the holographic entanglement entropy functional for a gravitational theory up to cubic order in the Riemann tensor, showcasing the differences between minimal and non-minimal splittings. The results are applied to specific examples and show that causal wedge inclusion is respected for a wide range of values of the cubic coupling.
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 Poincare 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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