Asymptotic T-duality in three dimensions
Stéphane Detournay, José Figueroa, Alejandro Vilar López
SciPost Phys. 19, 044 (2025) · published 18 August 2025
- doi: 10.21468/SciPostPhys.19.2.044
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Abstract
In (super)gravity theories, T-duality relates solutions with an exact isometry which can have wildly different asymptotic behaviors: A well-known example is the duality between BTZ black holes and (non-extremal) three-dimensional black strings. Using this dual pair, we show how the knowledge of a phase space which includes one set of solutions (here, BTZ black holes embedded in the Brown-Henneaux phase space) allows to obtain a phase space for the dual set via an asymptotic notion of T-duality. The resulting asymptotic symmetry algebras can be very different. For our particular example, we find a large algebra of symmetries for the black string phase space which includes as subalgebras $\mathfrak{bms}_2$, $\mathfrak{bms}_3$, and a twisted warped conformal algebra. On the way, we show that a chiral half of the Brown-Henneaux boundary conditions are dual to the Compère-Song-Strominger ones.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Stéphane Detournay,
- 1 2 3 José Figueroa,
- 4 Alejandro Vilar López
- 1 Université Libre de Bruxelles [ULB]
- 2 International Solvay Institutes
- 3 Universidad de Concepción / University of Concepción
- 4 University of British Columbia [UBC]
- Agencia Nacional de Investigación y Desarrollo [ANID]
- Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])
- Conseil de Recherches en Sciences Naturelles et en Génie / Natural Sciences and Engineering Research Council [NSERC / CRSNG]
- Simons Foundation
- Solvay
