A Zoo of Deformed Jackiw-Teitelboim Models near Large Dimensional Black Holes

TL;DR

This paper explores a family of two-dimensional dilaton gravity models derived from charged Lifshitz black holes in large dimensions, revealing new connections between known models and their charged and asymptotic variants.

Contribution

It introduces a unified framework linking various 2D dilaton gravity models, including JT and CGHS, from large-dimensional Lifshitz black holes, and discusses their charged and asymptotic extensions.

Findings

Family includes JT, CGHS, and asymptotically AdS models

Charged Lifshitz black holes map to these 2D models

Non-minimal scalars become minimal in 2D theory

Abstract

We consider a charged Lifshitz black hole in the large transverse dimension limit. In this setup, the dynamics near the black hole horizon are shown to be effectively governed by a family of two-dimensional models of dilaton gravity depending on the ratio of the dynamical parameter characterizing the black hole and the dimension of spacetime. This family includes the Callan-Giddings-Harvey-Strominger (CGHS) and Jackiw-Teitelboim (JT) models and their charged equivalents. This family also contains classes of asymptotically anti-de Sitter models beyond JT, characterized by a running Ricci scalar, with the option of adding charge. Finally, we argue that specific non-minimally coupled probe scalars in the parent Lifshitz model become minimally coupled scalars in the two-dimensional theory, which is relevant for understanding semi-classical corrections in such models.