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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Bibliographic Details
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
Description
Summary: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.
ISSN:1434-6044
1434-6052