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Holographic BCFTs and Communicating Black Holes

Apr 14, 2021

43 pages

Published in:

JHEP 08 (2021) 003

e-Print:

2104.07039 [hep-th]

DOI:

10.1007/JHEP08(2021)003 (publication)

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Abstract: (arXiv)

We study the AdS/BCFT duality between two-dimensional conformal field theories with two boundaries and three-dimensional anti-de Sitter space with two Karch-Randall branes. We compute the entanglement entropy of a bipartition of the BCFT, on both the gravity side and the field theory side. At finite temperature this entanglement entropy characterizes the communication between two braneworld black holes, coupled to each other through a common bath. We find a Page curve consistent with unitarity. The gravitational result, computed using double-holographically realized quantum extremal surfaces, matches the conformal field theory calculation. At zero temperature, we obtain an interesting extension of the AdS

_3

/BCFT

_2

correspondence. For a central charge

c

, we find a gap

(\frac{c}{16},\frac{c}{12})

in the spectrum of the scaling dimension

\Delta_{\text{bcc}}

of the boundary condition changing operator (which interpolates mismatched boundary conditions on the two boundaries of the BCFT). Depending on the value of

\Delta_{\text{bcc}}

, the gravitational dual is either a defect global AdS

_3

geometry or a single sided black hole, and in both cases there are two Karch-Randall branes.

Note:

43 pages, 9 figures, published version in JHEP

field theory: conformal
entropy: entanglement
gravitation: duality
scaling: dimension
defect: global
membrane model
black hole
finite temperature
AdS/CFT correspondence

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