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arXiv · 2505.14331

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

Debarshi Basu·Ashish Chandra·Qiang Wen
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Abstract

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.

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Debarshi Basu, Ashish Chandra, Qiang Wen. 2025-05-20. Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation. https://arxiv.org/abs/2505.14331

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