Conformal Carrollian Spin-3 Gravity in 3d

TL;DR

This paper explores the ultra-relativistic limit of conformal gravity theories with spin-2 and spin-3 in three dimensions, leading to new Carrollian gravity models and discussing their holographic implications.

Contribution

It introduces conformal Carrollian spin-2 and spin-3 gravity theories in 3D, extending the framework to arbitrary spins and comparing with non-conformal cases.

Findings

Ultra-relativistic limit yields new Carrollian gravity models.

Holographic examples demonstrate generalization over non-conformal cases.

Extension to arbitrary spin discussed.

Abstract

We consider ultra-relativistic limit of the spin-2 and spin-3 conformal gravity theories in three dimensions, which leads to conformal Carrollian spin-2 gravity and its spin-3 analog. We also comment on the generalization of the result to arbitrary spin. The holographic examples show generalization in comparison with non-conformal Carrollian gravity.