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arXiv · 2605.12616

Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$

Debarshi Basu·Mingshuai Xu
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Abstract

We study quantum chaos in $\textrm{T}\overline{\textrm{T}}$-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.

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Debarshi Basu, Mingshuai Xu. 2026-05-12. Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$. https://arxiv.org/abs/2605.12616

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