From Euclidean Sources to Lorentzian Spacetimes in Holographic Conformal Field Theories - INSPIRE

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From Euclidean Sources to Lorentzian Spacetimes in Holographic Conformal Field Theories

Donald Marolf
(
- UC, Santa Barbara
)
,
Onkar Parrikar
(
- Pennsylvania U.
)
,
Charles Rabideau
(
)
,
Ali Izadi Rad
(
- British Columbia U.
)
,
Mark Van Raamsdonk
(
- British Columbia U.
)

Sep 28, 2017

36 pages

Published in:

JHEP 06 (2018) 077

Published: Jun 15, 2018

e-Print:

1709.10101 [hep-th]

DOI:

10.1007/JHEP06(2018)077

View in:

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Abstract: (arXiv)

We consider states of holographic conformal field theories constructed by adding sources for local operators in the Euclidean path integral, with the aim of investigating the extent to which arbitrary bulk coherent states can be represented by such Euclidean path-integrals in the CFT. We construct the associated dual Lorentzian spacetimes perturbatively in the sources. Extending earlier work, we provide explicit formulae for the Lorentzian fields to first order in the sources for general scalar field and metric perturbations in arbitrary dimensions. We check the results by holographically computing the Lorentzian one-point functions for the sourced operators and comparing with a direct CFT calculation. We present evidence that at the linearized level, arbitrary bulk initial data profiles can be generated by an appropriate choice of Euclidean sources. However, in order to produce initial data that is very localized, the amplitude must be taken small at the same time otherwise the required sources diverge, invalidating the perturbative approach.

Note:

36 pages, 3 figures

AdS-CFT Correspondence
Gauge-gravity correspondence
field theory: conformal
holography
path integral: Euclidean
operator: local
coherent state
space-time: Lorentz
perturbation theory
metric: perturbation

References(23)

Figures(3)

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