Black hole thermodynamics, stringy dualities and double field theory

Abstract

We discuss black hole thermodynamics in the manifestly duality invariant formalism of double field theory (DFT). We reformulate and prove the first law of black hole thermodynamics in DFT, using the covariant phase space approach. After splitting the full O(D, D) invariant DFT into a Kaluza-Klein-inspired form where only n coordinates are doubled, our results provide explicit duality invariant mass and entropy formulas. We illustrate how this works by discussing the black fundamental string solution and its T-duals.

39 pages, including 2 appendices. v3: Published version. Some references added, minor edits

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• T-duality and high-derivative gravity theories: the BTZ black hole/string paradigm
• T-duality equivalences beyond string theory
• Probing the String Winding Sector
• Identifying Riemannian singularities with regular non-Riemannian geometry
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• On the phase space in Double Field Theory
• Black Remnants from T-Duality
• On topology changes in quantum field theory and quantum gravity
• Black hole solutions in double field theory
• A T-Fold Black Hole in Doubled Type IIB