Luis Avilés, Joaquim Gomis, Diego Hidalgo, Omar Valdivia
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AdS Carroll structures from Poincaré isomorphism: Asymptotic symmetry analysis
Starting from the isomorphism between the anti–de Sitter (AdS) Carroll and Poincaré algebras, we obtain the magnetic AdS Carroll gravity in three dimensions. Moreover, we derive the first set of asymptotic conditions for the AdS Carroll structure, and we prove that the asymptotic symmetry algebra is given by the bms3 algebra. By mapping the three-dimensional asymptotically flat solutions of Poincaré gravity into an AdS Carroll spacetime, we demonstrate that the resulting solutions satisfy the field equations of the Chern-Simons formulation of AdS Carroll gravity, and we note that this solution possesses an infinite set of Killing vectors. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.