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
Categories
Funding
- National Science Foundation (NSF) [PHY1820712]
- NSF [PHY-1620610]
- Spanish MECD fellowship [FPU16/06675]
- MINECO [FPA2017-84436-P]
- Xunta de Galicia [ED431C 2017/07]
- European Union (European Regional Development Fund - ERDF)
- Maria de Maeztu Units of Excellence [MDM2016-0692]
- 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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