AdS Carroll Structures from Poincaré Isomorphism: Asymptotic Symmetry Analysis

Abstract

Starting from the isomorphism between the AdS Carroll and Poincaré algebras, we map the three-dimensional asymptotically flat solutions of Poincaré gravity into an AdS Carroll spacetime. We show the mapped solutions satisfy the field equations of the Chern-Simons formulation of AdS Carroll gravity and exhibit a Carroll geometry structure. Despite the presence of a negative cosmological constant in the mapped spacetime, the algebra of the canonical generators of the asymptotic symmetries is given by the ${\mathfrak{bms}}_3$ algebra.

15 pages