Holographic entanglement entropy from minimal surfaces with/without extrinsic curvature
arXiv:1508.02527 · doi:10.1007/JHEP02(2016)037
Abstract
In this paper we show that in addition to the known minimal surfaces which appear in the literature for computing the entanglement entropy there are other minimal surfaces with non-zero extrinsic curvature. We use the approach of regularization procedure for computing the quadratic and cubic curvature invariants on manifolds with squashed cones. The results can be used to find the leading and universal terms of the holographic entanglement entropy to understand which solution corresponds to the actual minimal surface.
19 pages, 5 figures. v3: Published version in JHEP
References in corpus (6)
- Massive Gravity in Three Dimensions
- Holographic c-theorems in arbitrary dimensions
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Holographic Entanglement Entropy for the Most General Higher Derivative Gravity
- On entanglement entropy functionals in higher derivative gravity theories
- Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
Cited by in corpus (6)
- Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
- Holographic entanglement entropy for perturbative higher-curvature gravities
- On the Shape of Things: From holography to elastica
- Holographic Entanglement Entropy in NMG
- Higher order curvature corrections and holographic renormalization group flow
- Entanglement entropy in cubic gravitational theories