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On volumes of subregions in holography and complexity
2016
Journal of High Energy Physics
The volume of the region inside the bulk Ryu-Takayanagi surface is a codimension-one object, and a natural generalization of holographic complexity to the case of subregions in the boundary QFT. We focus on time-independent geometries, and study the properties of this volume in various circumstances. We derive a formula for computing the volume for a strip entangling surface and a general asymptotically AdS bulk geometry. For an AdS black hole geometry, the volume exhibits non-monotonic
doi:10.1007/jhep11(2016)129
fatcat:zhi74fnd3reizmluqdgb3hxd3q