Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
High Energy Physics - Theory
2026-05-14 v1
Abstract
We study quantum chaos in -deformed two-dimensional conformal field theories with gravitational anomaly and their holographic dual description in topologically massive gravity. Using pole-skipping and shock-wave analysis, we extract the Lyapunov exponent and butterfly velocity and analyze the interplay between irrelevant deformation and parity-violating dynamics. We find that the chaos bound remains saturated, while the butterfly velocity exhibits nontrivial dependence on the deformation parameter and anomaly. We also identify a Hagedorn regime in which the chaotic response becomes complex valued, signaling a breakdown of the physical branch of the deformed theory.
Cite
@article{arxiv.2605.12616,
title = {Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$},
author = {Debarshi Basu and Mingshuai Xu},
journal= {arXiv preprint arXiv:2605.12616},
year = {2026}
}
Comments
42 pages, 4 figures and 2 appendices