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

TL;DR

This paper demonstrates that key features of the JT model are universal in 2D Maxwell-dilaton gravity, revealing a flow equation akin to TTbar deformation and exhibiting chaos with a maximal Lyapunov exponent.

Contribution

It establishes the universality of flow equations and chaos saturation in broad classes of 2D dilaton gravity theories, extending the JT model's properties.

Findings

Flow equations resemble dimensionally reduced TTbar deformation.

Theories exhibit maximal Lyapunov exponent indicating chaos.

No smooth flow from AdS2 to de Sitter fixed points.

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 TTbar 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.