Teleparallel Jackiw-Teitelboim gravity

TL;DR

This paper introduces a novel two-dimensional gravity model based on teleparallel ideas, closely related to Jackiw-Teitelboim gravity, revealing a single dynamical degree of freedom unlike traditional 2D gravity.

Contribution

The authors develop a new teleparallel formulation of 2D gravity linked to JT gravity, demonstrating the presence of a dynamical degree of freedom in this context.

Findings

Single dynamical degree of freedom identified

Vacuum solutions characterized

Model extendable to other lower-dimensional theories

Abstract

We introduce a new class of two dimensional gravity models using ideas motivated by the Teleparallel Equivalent of General Relativity. This leads to a rather natural formulation of a theory that has close links with Jackiw-Teitelboim gravity. After introducing the theory and discussing its vacuum solutions, we present the Hamiltonian analysis. This implies the presence of a single dynamical degree of freedom, which is in sharp contrast to General Relativity, where there are no degrees of freedom in two spacetime dimensions. Our approach can be extended to various other lower-dimensional gravity theories and thus could be of wider interest.