Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation
Abstract
These notes present a comprehensive analysis of shockwave geometries in holographic settings, focusing on -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.
Keywords
Cite
@article{arxiv.2505.14331,
title = {Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation},
author = {Debarshi Basu and Ashish Chandra and Qiang Wen},
journal= {arXiv preprint arXiv:2505.14331},
year = {2025}
}
Comments
33 pages, 10 figures and 3 appendices