Work

Butterfly effect and T T ¯ -deformation

Year: 2025

Type: article

Abstract: These notes present a comprehensive analysis of shock wave geometries in holographic settings, focusing on T T ¯ -deformed Bañados–Teitelboim–Zanelli black holes and their extensions. By constructing deformed metrics and employing Kruskal coordinates, we examine out-of-time-ordered correlators as probes of quantum chaos. We also study localized shock wave solutions and analyze their backreaction, highlighting regimes in which the Mezei-Stanford bound on the butterfly velocity is potentially violated. The results obtained via shock wave 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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/qq7z-vkxv

Authors: Debarshi Basu, Ashish Chandra, Qiang Wen

Institution: Southeast University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Southeast University

Award: G4146574254