Holographic complexity of Born–Infeld gravity

Abstract We investigate the duality conjecture “Complexity=Action” (CA) for Born–Infeld (BI) gravity model and derive the growth rate of its action within the Wheeler–DeWitt (WDW) patch, which is believed to be dual to the growth rate of quantum complexity of holographic boundary state. In order to...

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Main Authors: Hamid R. Bakhtiarizadeh, Ghadir Jafari
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-7766-4
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author Hamid R. Bakhtiarizadeh
Ghadir Jafari
author_facet Hamid R. Bakhtiarizadeh
Ghadir Jafari
author_sort Hamid R. Bakhtiarizadeh
collection DOAJ
description Abstract We investigate the duality conjecture “Complexity=Action” (CA) for Born–Infeld (BI) gravity model and derive the growth rate of its action within the Wheeler–DeWitt (WDW) patch, which is believed to be dual to the growth rate of quantum complexity of holographic boundary state. In order to find the correct on-shell action, we use direct variational procedure to find proper boundary and corner terms. We find out that the late-time behavior of holographic complexity is the well-known two times of energy, as expected.
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spelling doaj.art-3c14b8bc95be481d8103b33aab8556c62022-12-22T01:20:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-03-018031610.1140/epjc/s10052-020-7766-4Holographic complexity of Born–Infeld gravityHamid R. Bakhtiarizadeh0Ghadir Jafari1Department of Physics, Sirjan University of TechnologySchool of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)Abstract We investigate the duality conjecture “Complexity=Action” (CA) for Born–Infeld (BI) gravity model and derive the growth rate of its action within the Wheeler–DeWitt (WDW) patch, which is believed to be dual to the growth rate of quantum complexity of holographic boundary state. In order to find the correct on-shell action, we use direct variational procedure to find proper boundary and corner terms. We find out that the late-time behavior of holographic complexity is the well-known two times of energy, as expected.http://link.springer.com/article/10.1140/epjc/s10052-020-7766-4
spellingShingle Hamid R. Bakhtiarizadeh
Ghadir Jafari
Holographic complexity of Born–Infeld gravity
European Physical Journal C: Particles and Fields
title Holographic complexity of Born–Infeld gravity
title_full Holographic complexity of Born–Infeld gravity
title_fullStr Holographic complexity of Born–Infeld gravity
title_full_unstemmed Holographic complexity of Born–Infeld gravity
title_short Holographic complexity of Born–Infeld gravity
title_sort holographic complexity of born infeld gravity
url http://link.springer.com/article/10.1140/epjc/s10052-020-7766-4
work_keys_str_mv AT hamidrbakhtiarizadeh holographiccomplexityofborninfeldgravity
AT ghadirjafari holographiccomplexityofborninfeldgravity