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Universal flow equations and chaos bound saturation in 2d dilaton gravity

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We show that several features of the Jackiw-Teitelboim model are in fact universal properties of two-dimensional Maxwell-dilaton gravity theories with a broad class of asymptotics. These theories satisfy a flow… Click to show full abstract

We show that several features of the Jackiw-Teitelboim model are in fact universal properties of two-dimensional Maxwell-dilaton gravity theories with a broad class of asymptotics. These theories satisfy a flow equation with the structure of a dimensionally reduced T T ¯ $$ T\overline{T} $$ deformation, and exhibit chaotic behavior signaled by a maximal Lyapunov exponent. One consequence of our results is a no-go theorem for smooth flows from an asymptotically AdS 2 region to a de Sitter fixed point.

Keywords: flow equations; equations chaos; dilaton gravity; dilaton; universal flow

Journal Title: Journal of High Energy Physics
Year Published: 2020

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