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arXiv · 1803.04517

T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm

Jose D. Edelstein·Konstantinos Sfetsos·J. Anibal Sierra-Garcia·Alejandro Vilar Lopez
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Abstract

We show that the temperature and entropy of a BTZ black hole are invariant under T-duality to next to leading order in $M_\star^{-2}$, $M_\star$ being the scale suppressing higher-curvature/derivative terms in the Lagrangian. We work in the framework of a two-parameter 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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Jose D. Edelstein, Konstantinos Sfetsos, J. Anibal Sierra-Garcia, Alejandro Vilar Lopez. 2018-03-12. T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm. https://doi.org/10.1007/jhep06(2018)142

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