Bubble quenches in the AdS/BCFT model

Cavalcanti, Arthur G.; Melnikov, Dmitry

doi:10.1103/physrevd.103.046022

Cited by 1 publication

(1 citation statement)

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“…where L a is the length of the so-called disconnected geodesic which is the spacelike geodesic extending from (t, x, z) = (t, a, ) and ending on the end-of-the-world brane Q. This calculation of entanglement entropy in AdS/BCFT [18,19] is similar to those for the joining/splitting local quenches [66][67][68] (see also [69][70][71]). Note that the Newton constant G N in AdS 3 is related to the central charge c in CFT 2 by 1/(4G N ) = c/6.…”

Section: Gravity Dual Descriptionmentioning

confidence: 81%

Codimension two holography for wedges

Akal,

Kusuki,

Takayanagi

et al. 2020

Preprint

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We propose a codimension two holography between a gravitational theory on a d + 1 dimensional wedge spacetime and a d − 1 dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain how to compute the free energy, entanglement entropy and correlation functions of the dual CFTs from gravity. In this wedge holography, the holographic entanglement entropy is computed by a double minimization procedure. Especially, for a four dimensional gravity (d = 3), we obtain a two dimensional CFT and the holographic entanglement entropy perfectly reproduces the known result expected from the holographic conformal anomaly. We also discuss a lower dimensional example (d = 2) and find that a universal quantity naturally arises from gravity, which is analogous to the boundary entropy. Moreover, we consider a gravity on a wedge region in Lorentzian AdS, which is expected to be dual to a CFT with a spacelike boundary. We formulate this new holography and compute the holographic entanglement entropy via a Wick rotation of the AdS/BCFT construction. Via a conformal map, this wedge spacetime is mapped into a geometry where a bubble-ofnothing expands under time evolution. We reproduce the holographic entanglement entropy for this gravity dual via CFT calculations.

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