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Holographic maps from quantum gravity states as tensor networks

Eugenia Colafranceschi
(
- Nottingham U.
)
,
Goffredo Chirco
(
- INFN, Naples
)
,
Daniele Oriti
(
- Munich U., ASC
)

May 13, 2021

27 pages

Published in:

Phys.Rev.D 105 (2022) 6, 066005

Published: Mar 15, 2022

e-Print:

2105.06454 [hep-th]

DOI:

10.1103/PhysRevD.105.066005 (publication)

View in:

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Abstract: (APS)

We define bulk/boundary maps corresponding to quantum gravity states in the tensorial group field theory formalism, for quantum geometric models sharing the same type of quantum states of loop quantum gravity. The maps are defined in terms of a partition of the quantum geometric data associated to an open graph into bulk and boundary ones, in the spin representation. We determine the general condition on the entanglement structure of the state that makes the bulk/boundary map isometric (a necessary condition for holographic behavior), and we analyze different types of quantum states, identifying those that define isometric bulk-to-boundary maps.

Note:

27 pages, 6 figures

spin: representation
field theory: group
quantum gravity: loop space
model: geometrical
entanglement
holography
network

References(70)

Figures(6)

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