Holographic Complexity of Subregions in the Hyperscaling Violating Theories

Fuente: arXiv
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Autores principales: Borvayeh, Zahra, Tanhayi, Mohammad Reza, Rafibakhsh, Sh.
Formato: Preprint
Publicado: 2020
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author Borvayeh, Zahra
Tanhayi, Mohammad Reza
Rafibakhsh, Sh.
author_facet Borvayeh, Zahra
Tanhayi, Mohammad Reza
Rafibakhsh, Sh.
contents In this paper, we use the complexity equals action proposal and investigate holographic complexity for hyperscaling violating theories on different subregions of space-time enclosed by the null boundaries. We are interested in computing the onshell action for certain subregions of the intersection between the Wheeler DeWitt patch and the past, as well as, the future interior of a two-sided black brane. More precisely, we extend the results of Ref. \cite{Alishahiha:2018lfv} in parts, to hyperscaling violating geometries and to find the finite onshell action, we define the proper counter terms. We show that in computing the rate of complexification the dynamical exponent plays a crucial rule, but, at the late time, rate of the complexity growth is independent of the hyperscaling parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2006_08478
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Holographic Complexity of Subregions in the Hyperscaling Violating Theories
Borvayeh, Zahra
Tanhayi, Mohammad Reza
Rafibakhsh, Sh.
High Energy Physics - Theory
In this paper, we use the complexity equals action proposal and investigate holographic complexity for hyperscaling violating theories on different subregions of space-time enclosed by the null boundaries. We are interested in computing the onshell action for certain subregions of the intersection between the Wheeler DeWitt patch and the past, as well as, the future interior of a two-sided black brane. More precisely, we extend the results of Ref. \cite{Alishahiha:2018lfv} in parts, to hyperscaling violating geometries and to find the finite onshell action, we define the proper counter terms. We show that in computing the rate of complexification the dynamical exponent plays a crucial rule, but, at the late time, rate of the complexity growth is independent of the hyperscaling parameters.
title Holographic Complexity of Subregions in the Hyperscaling Violating Theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2006.08478