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Main Authors: Parihar, Sanhita, Roy, Shubho R.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.21408
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author Parihar, Sanhita
Roy, Shubho R.
author_facet Parihar, Sanhita
Roy, Shubho R.
contents We compute the holographic complexity of conformal quantum fields in rigid global de Sitter spacetime (dS$_{d}$) using the volume and action prescriptions. First we consider AdS$_{d+1}$ spacetime in global dS$_{d}$ foliations, and compute the complexity of the CFT supported on the global dS$_{d}$ conformal boundary. Next, we consider CFT supported on a global dS$_d$ (UV) brane embedded in AdS$_{d+1}$ spacetime, and compute the holographic complexity in this brane set up. We compare and contrast the results in the two cases, as well as with related results in the literature obtained in alternative holographic set ups involving patches of de Sitter spacetime covered by static coordinates or conformal (Poincaré) coordinates.
format Preprint
id arxiv_https___arxiv_org_abs_2604_21408
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Holographic complexity of conformal fields in global de Sitter spacetime
Parihar, Sanhita
Roy, Shubho R.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We compute the holographic complexity of conformal quantum fields in rigid global de Sitter spacetime (dS$_{d}$) using the volume and action prescriptions. First we consider AdS$_{d+1}$ spacetime in global dS$_{d}$ foliations, and compute the complexity of the CFT supported on the global dS$_{d}$ conformal boundary. Next, we consider CFT supported on a global dS$_d$ (UV) brane embedded in AdS$_{d+1}$ spacetime, and compute the holographic complexity in this brane set up. We compare and contrast the results in the two cases, as well as with related results in the literature obtained in alternative holographic set ups involving patches of de Sitter spacetime covered by static coordinates or conformal (Poincaré) coordinates.
title Holographic complexity of conformal fields in global de Sitter spacetime
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2604.21408