Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation

Fuente: arXiv
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Autori principali: Basu, Debarshi, Chandra, Ashish, Wen, Qiang
Natura: Preprint
Pubblicazione: 2025
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author Basu, Debarshi
Chandra, Ashish
Wen, Qiang
author_facet Basu, Debarshi
Chandra, Ashish
Wen, Qiang
contents These notes present a comprehensive analysis of shockwave geometries in holographic settings, focusing on $\textrm{T}\overline{\textrm{T}}$-deformed BTZ black holes and their extensions. By constructing deformed metrics and employing Kruskal coordinates, we examine out-of-time-ordered correlators (OTOCs) as probes of quantum chaos. We also study localized shockwave solutions and analyze their backreaction, highlighting regimes in which the Mezei-Stanford bound on the butterfly velocity is potentially violated. The results obtained via shockwave methods are corroborated with recent developments in pole-skipping phenomena and the entanglement wedge approach, demonstrating consistency among distinct probes of chaos in holographic theories.
format Preprint
id arxiv_https___arxiv_org_abs_2505_14331
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation
Basu, Debarshi
Chandra, Ashish
Wen, Qiang
High Energy Physics - Theory
These notes present a comprehensive analysis of shockwave geometries in holographic settings, focusing on $\textrm{T}\overline{\textrm{T}}$-deformed BTZ black holes and their extensions. By constructing deformed metrics and employing Kruskal coordinates, we examine out-of-time-ordered correlators (OTOCs) as probes of quantum chaos. We also study localized shockwave solutions and analyze their backreaction, highlighting regimes in which the Mezei-Stanford bound on the butterfly velocity is potentially violated. The results obtained via shockwave methods are corroborated with recent developments in pole-skipping phenomena and the entanglement wedge approach, demonstrating consistency among distinct probes of chaos in holographic theories.
title Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation
topic High Energy Physics - Theory
url https://arxiv.org/abs/2505.14331