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

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.

arXiv comment18 pages; v2: references improved

References in corpus (32)

• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Gluon scattering amplitudes at strong coupling
• Pre-Big-Bang in String Cosmology
• Double Field Theory
• On Black Hole Entropy
• Generalized metric formulation of double field theory
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Noncompact Symmetries in String Theory
• Three-Dimensional Gravity Revisited
• Background independent action for double field theory
• Double Field Theory: A Pedagogical Review
• The gauge algebra of double field theory and Courant brackets
• Exact Three Dimensional Black Holes in String Theory
• Exploring Double Field Theory
• Doubled α'-Geometry
• Black Hole Entropy in the presence of Chern-Simons Terms
• Holography with Gravitational Chern-Simons Term
• T-duality and ${\alpha }^{\prime }$-corrections
• An Equivalence Between Momentum and Charge in String Theory
• Duality Beyond the First Loop
• Black hole entropy and Lorentz-diffeomorphism Noether charge
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• ${\alpha }^{\prime }$-corrected black holes in String Theory
• On a family of ${\alpha }^{\prime }$-corrected solutions of the Heterotic Superstring effective action
• Second order higher-derivative corrections in Double Field Theory
• On Background Independence and Duality Invariance in String Theory
• Background Independent Double Field Theory at Order ${\alpha }^{\prime }$: Metric vs. Frame-like Geometry
• T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm
• Black hole thermodynamics, stringy dualities and double field theory
• On the addition of torsion to chiral gravity

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• Generalized Dualities and Higher Derivatives
• O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'
• T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm
• The generalized Bergshoeff-de Roo identification II
• T-duality equivalences beyond string theory
• ${\alpha }^{\prime }$-corrections and their double formulation
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• Investigations of strong cosmic censorship in 3-dimensional black strings
• Analytic approach to the formation of a three-dimensional black string from a dust cloud