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Bulk locality from modular flow

Thomas Faulkner
(
- Illinois U., Urbana
)
,
Aitor Lewkowycz
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)

Apr 18, 2017

36 pages

Published in:

JHEP 07 (2017) 151

Published: Jul 31, 2017

e-Print:

1704.05464 [hep-th]

DOI:

10.1007/JHEP07(2017)151

View in:

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Abstract: (Springer)

We study the reconstruction of bulk operators in the entanglement wedge in terms of low energy operators localized in the respective boundary region. To leading order in N, the dual boundary operators are constructed from the modular flow of single trace operators in the boundary subregion. The appearance of modular evolved boundary operators can be understood due to the equality between bulk and boundary modular flows and explicit formulas for bulk operators can be found with a complete understanding of the action of bulk modular flow, a difficult but in principle solvable task.

Note:

36 pages, 2 figures

AdS-CFT Correspondence
Conformal Field Theory
energy: operator
energy: low
higher-order: 0
modular
flow
operator product expansion
entanglement
boundary condition

References(53)

Figures(3)

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