Information radiation in BCFT models of black holes - INSPIRE

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Information radiation in BCFT models of black holes

Moshe Rozali
(
- British Columbia U.
)
,
James Sully
(
- British Columbia U.
)
,
Mark Van Raamsdonk
(
- British Columbia U.
)
,
Christopher Waddell
(
- British Columbia U.
)
,
David Wakeham
(
- British Columbia U.
)

Oct 28, 2019

39 pages

Published in:

JHEP 05 (2020) 004

Published: May 4, 2020

e-Print:

1910.12836 [hep-th]

DOI:

10.1007/JHEP05(2020)004

View in:

reference search176 citations

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Abstract: (Springer)

In this note, following [1–3], we introduce and study various holographic systems which can describe evaporating black holes. The systems we consider are boundary conformal field theories for which the number of local degrees of freedom on the boundary (c

_{bdy}

) is large compared to the number of local degrees of freedom in the bulk CFT (c

_{bulk}

). We consider states where the boundary degrees of freedom on their own would describe an equilibrium black hole, but the coupling to the bulk CFT degrees of freedom allows this black hole to evaporate. The Page time for the black hole is controlled by the ratio c

_{bdy}

/c

_{bulk}

. Using both holographic calculations and direct CFT calculations, we study the evolution of the entanglement entropy for the subset of the radiation system (i.e. the bulk CFT) at a distance d > a from the boundary. We find that the entanglement entropy for this subsystem increases until time a + t

_{Page}

and then undergoes a phase transition after which the entanglement wedge of the radiation system includes the black hole interior. Remarkably, this occurs even if the radiation system is initially at the same temperature as the black hole so that the two are in thermal equilibrium. In this case, even though the black hole does not lose energy, it “radiates” information through interaction with the radiation system until the radiation system contains enough information to reconstruct the black hole interior.

Note:

38 pages, 18 figures; v2: minor corrections, references and acknowledgements added; v3: updated discussion in section 3.3, added references

AdS-CFT Correspondence
Black Holes
Conformal Field Theory
Models of Quantum Gravity
field theory: conformal
entropy: entanglement
black hole: model
holography
critical phenomena
temperature

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Figures(16)

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