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arXiv · 2407.14457

AdS Carroll Structures from Poincar\'e Isomorphism: Asymptotic Symmetry Analysis

Luis Avilés·Joaquim Gomis·Diego Hidalgo·Omar Valdivia
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Abstract

Starting from the isomorphism between the AdS Carroll and Poincar\'e algebras, we map the three-dimensional asymptotically flat solutions of Poincar\'e 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.

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Luis Avilés, Joaquim Gomis, Diego Hidalgo, Omar Valdivia. 2024-07-19. AdS Carroll Structures from Poincar\'e Isomorphism: Asymptotic Symmetry Analysis. https://arxiv.org/abs/2407.14457

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