Abstract
We 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-dimensions.
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Edelstein, 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). https://doi.org/10.1007/JHEP06(2018)142
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DOI: https://doi.org/10.1007/JHEP06(2018)142