Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866913119695011840 |
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| author | Basu, Debarshi Xu, Mingshuai |
| author_facet | Basu, Debarshi Xu, Mingshuai |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_12616 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$ Basu, Debarshi Xu, Mingshuai High Energy Physics - Theory 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. |
| title | Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.12616 |