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Universal Flow Equations And Chaos Bound Saturation In 2d Dilaton Gravity, D. Grumiller, Robert Mcnees

Physics: Faculty Publications and Other Works

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 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 AdS₂ region to a de Sitter fixed point.