Electric/Magnetic Newton-Hooke and Carroll Jackiw-Teitelboim Gravity

TL;DR

This paper develops new gravity theories in two-dimensional spacetime by leveraging algebraic isomorphisms between Newton-Hooke and Carroll algebras, extending Jackiw-Teitelboim gravity to non-relativistic and Carrollian regimes.

Contribution

It constructs electric and magnetic Newton-Hooke and Carroll Jackiw-Teitelboim gravity theories using algebraic isomorphisms, broadening the scope of 2D gravity models.

Findings

Established algebraic isomorphisms between Newton-Hooke and Carroll algebras.

Formulated new gravity theories without geometric restrictions.

Extended Jackiw-Teitelboim gravity to non-relativistic and Carrollian contexts.

Abstract

We construct the electric and magnetic Newton-Hooke and Carroll Jackiw-Teitelboim gravity theories using the isomorphism of Newton-Hooke$_\pm$ and (A-)dS Carroll algebras in $(1+1)$-spacetime dimensions. The starting point is the non-relativistic and Carroll version of Jackiw-Teitelboim gravity without restrictions on the geometry studied in [15].