Edelstein Glaubach, José DanielSfetsos, KonstantinosSierra García, Jesús AníbalVilar López, Alejandro2019-12-122019-12-122018Edelstein, J.D., Sfetsos, K., Sierra-Garcia, J.A. et al. T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm. J. High Energ. Phys. 2018, 142 (2018) doi:10.1007/JHEP06(2018)142http://hdl.handle.net/10347/20438We show that the temperature and entropy of a BTZ black hole are invariant under T-duality to next to leading order in M ⋆− 2, M⋆ being the scale suppressing higher-curvature/derivative terms in the Lagrangian. We work in the framework of a twoparameter family of theories exhibiting T-duality, which includes (but goes beyond) String Theory. Interestingly enough, the AdS/CFT correspondence enforces quantization conditions on these parameters. In the particular case of bosonic/heterotic string theory, our results extend those of a classical paper by Horowitz and Welch. For generic (albeit quantized) values of the parameters, it suggests that T-duality might be an interesting tool to constrain consistent low-energy effective actions while entailing physical equivalences outside String Theory. Moreover, it generates a new family of regular asymptotically flat black string solutions in three-dimensionsengOpen Access, © The Authors. This article is licensed under CC BY 4.0. Article funded by SCOAP3https://creativecommons.org/licenses/by/4.0/String DualityBlack HolesSpace-Time SymmetriesAdS-CFT CorrespondenceT-duality and high-derivative gravity theories: the BTZ black hole/string paradigmjournal article10.1007/JHEP06(2018)1421029-8479open access