https://doi.org/10.1140/epjc/s10052-017-4957-8
Regular Article - Theoretical Physics
A holographic bound for D3-brane
1
Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
2
Department of General Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan
3
Irving K. Barber School of Arts and Sciences, University of British Columbia-Okanagan, 3333 University Way, Kelowna, BC, V1V 1V7, Canada
4
Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada
5
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
* e-mail: d.momeni@yahoo.com
Received:
6
April
2017
Accepted:
29
May
2017
Published online:
13
June
2017
In this paper, we will regularize the holographic entanglement entropy, holographic complexity and fidelity susceptibility for a configuration of D3-branes. We will also study the regularization of the holographic complexity from the action for a configuration of D3-branes. It will be demonstrated that for a spherical shell of D3-branes the regularized holographic complexity is always greater than or equal to the regularized fidelity susceptibility. Furthermore, we will also demonstrate that the regularized holographic complexity is related to the regularized holographic entanglement entropy for this system. Thus, we will obtain a holographic bound involving regularized holographic complexity, regularized holographic entanglement entropy and regularized fidelity susceptibility of a configuration of D3-brane. We will also discuss a bound for regularized holographic complexity from action, for a D3-brane configuration.
© The Author(s), 2017
