Explicit reconstruction of the entanglement wedge via the Petz map - INSPIRE

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Explicit reconstruction of the entanglement wedge via the Petz map

Eyoab Bahiru
(
- SISSA, Trieste and
- INFN, Trieste and
- ICTP, Trieste
)
,
Niloofar Vardian
(
- SISSA, Trieste and
- INFN, Trieste
)

Oct 2, 2022

40 pages

Published in:

JHEP 07 (2023) 025,
JHEP (2023) 25

Published: Jul 4, 2023

e-Print:

2210.00602 [hep-th]

DOI:

10.1007/JHEP07(2023)025

View in:

ADS Abstract Service

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Abstract: (Springer)

We revisit entanglement wedge reconstruction in AdS/CFT using the Petz recovery channel. In the case of a spherical region on the boundary, we show that the Petz map reproduces the AdS-Rindler HKLL reconstruction. Moreover, for a generic subregion of the boundary, we could obtain the same boundary representation of a local bulk field lies in the entanglement wedge as the one proposed earlier in [1, 2] using properties of the modular flow.

Note:

39 pages, 2 figures, minor comments are added

AdS-CFT Correspondence
Gauge-Gravity Correspondence
field theory: conformal
entanglement
Petz map
flow
AdS/CFT correspondence
modular

References(78)

Figures(2)

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