AdS Carroll structures from Poincaré isomorphism: Asymptotic symmetry analysis

Luis Avilés; Joaquim Gomis; Diego Hidalgo; Omar Valdivia

doi:10.1103/PhysRevD.111.124007

AdS Carroll structures from Poincaré isomorphism: Asymptotic symmetry analysis

Luis Avilés
, Joaquim Gomis
, Diego Hidalgo
, Omar Valdivia

Engineering and Natural Sciences

University of Iceland

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	124007
Journal	Physical review D
Volume	111
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.111.124007
Publication status	Published - 15 Jun 2025

Bibliographical note

Publisher Copyright: © 2025 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Access to Document

10.1103/PhysRevD.111.124007

Cite this

@article{bf82df0b83e8433fb2811f7443e6f6eb,

title = "AdS Carroll structures from Poincar{\'e} isomorphism: Asymptotic symmetry analysis",

abstract = "Starting from the isomorphism between the anti-de Sitter (AdS) Carroll and Poincar{\'e} 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 Poincar{\'e} 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.",

author = "Luis Avil{\'e}s and Joaquim Gomis and Diego Hidalgo and Omar Valdivia",

note = "Publisher Copyright: {\textcopyright} 2025 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.",

year = "2025",

month = jun,

day = "15",

doi = "10.1103/PhysRevD.111.124007",

language = "English",

volume = "111",

journal = "Physical review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "12",

}

TY - JOUR

T1 - AdS Carroll structures from Poincaré isomorphism

T2 - Asymptotic symmetry analysis

AU - Avilés, Luis

AU - Gomis, Joaquim

AU - Hidalgo, Diego

AU - Valdivia, Omar

N1 - Publisher Copyright: © 2025 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

PY - 2025/6/15

Y1 - 2025/6/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/105007727913

U2 - 10.1103/PhysRevD.111.124007

DO - 10.1103/PhysRevD.111.124007

M3 - Article

SN - 2470-0010

VL - 111

JO - Physical review D

JF - Physical review D

IS - 12

M1 - 124007

ER -

AdS Carroll structures from Poincaré isomorphism: Asymptotic symmetry analysis

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this