Thermodynamic and Holographic Information Dual to Volume

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 deformati...

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Published in:arXiv.org 2018-09
Main Authors: Momeni, Davood, Mir Faizal, Alsaleh, Salwa, Alasfar, Lina, Myrzakul, Aizhan, Myrzakulov, Ratbay
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Language:English
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Complexity
Deformation
Spacetime
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Mir Faizal
Alsaleh, Salwa
Alasfar, Lina
Myrzakul, Aizhan
Myrzakulov, Ratbay
description 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.
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subjects Complexity
Deformation
Spacetime
title Thermodynamic and Holographic Information Dual to Volume
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