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Thermodynamic and Holographic Information Dual to Volume

Davood Momeni
(
- Eurasian Nat. U., Astana
)
,
Mir Faizal
(
- British Columbia U., Okanagan and
- Lethbridge U.
)
,
Salwa Alsaleh
(
- King Saud U.
)
,
Lina Alasfar
(
- Clermont-Ferrand U.
)
,
Aizhan Myrzakul
(
- Eurasian Nat. U., Astana
)

Apr 15, 2017

17 pages

Published in:

Eur.Phys.J.C 78 (2018) 9, 765

Published: Sep 22, 2018

e-Print:

1704.05785 [hep-th]

DOI:

10.1140/epjc/s10052-018-6226-x

Report number:

EICTP-17-004

View in:

reference search13 citations

Citations per year

Abstract: (arXiv)

In this paper, we will analyze the connection between the fidelity susceptibility, the holographic complexity and the thermodynamic volume. We will regularize the fidelity susceptibility and the holographic complexity by subtracting the contribution of the background AdS spacetime from the deformation of the AdS spacetime. It will be demonstrated that this regularized fidelity susceptibility has the same behavior as the thermodynamic volume and that the regularized complexity has a very different behavior. As the information dual to different volumes in the bulk would be measured by the fidelity susceptibility and the holographic complexity, this paper will establish a connection between thermodynamics and information dual to a volume.

Note:

Accepted in the "European Physical Journal C", minor changes, two figures deleted,

space-time: anti-de Sitter
susceptibility
regularization
duality: holography
thermodynamics
deformation
AdS/CFT correspondence
black hole: Schwarzschild
black hole: Reissner-Nordstroem

References(58)

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