Bulk Action Growth for Holographic Complexity

Fuente: arXiv
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Autore principale: Krššák, Martin
Natura: Preprint
Pubblicazione: 2023
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author Krššák, Martin
author_facet Krššák, Martin
contents The action growth proposal relates the holographic complexity to the value of the action on the Wheeler-de Witt patch. We introduce a new method of calculating the gravitational action using the "bulk" term, i.e. the part of the Einstein-Hilbert action quadratic in connection coefficients. We demonstrate how to address the issue of non-covariance of the bulk action and evaluate it using the tetrad formalism. Due to the boundary term-free nature of the bulk action, we can gain further insights into the spatial structure of the action on the Wheeler-de Witt patch. We then argue that our entire scheme can be naturally covariantized within the framework of teleparallel geometry.
format Preprint
id arxiv_https___arxiv_org_abs_2308_04354
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Bulk Action Growth for Holographic Complexity
Krššák, Martin
High Energy Physics - Theory
General Relativity and Quantum Cosmology
The action growth proposal relates the holographic complexity to the value of the action on the Wheeler-de Witt patch. We introduce a new method of calculating the gravitational action using the "bulk" term, i.e. the part of the Einstein-Hilbert action quadratic in connection coefficients. We demonstrate how to address the issue of non-covariance of the bulk action and evaluate it using the tetrad formalism. Due to the boundary term-free nature of the bulk action, we can gain further insights into the spatial structure of the action on the Wheeler-de Witt patch. We then argue that our entire scheme can be naturally covariantized within the framework of teleparallel geometry.
title Bulk Action Growth for Holographic Complexity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2308.04354