Black Holes and the Swampland: the Deep Throat revelations

Abstract

Multi-centered bubbling solutions are black hole microstate geometries that arise as smooth solutions of 5-dimensional $\mathcal{N}=2$ Supergravity. When these solutions reach the scaling limit, their resulting geometries develop an infinitely deep throat and look arbitrarily close to a black hole geometry. We depict a connection between the scaling limit in the moduli space of Microstate Geometries and the Swampland Distance Conjecture. The naive extension of the Distance Conjecture implies that the distance in moduli space between a reference point and a point approaching the scaling limit is set by the proper length of the throat as it approaches the scaling limit. Independently, we also compute a distance in the moduli space of 3-centre solutions, from the Kähler structure of its phase space using quiver quantum mechanics. We show that the two computations of the distance in moduli space do not agree and comment on the physical implications of this mismatch.

29 pages, 2 figures. V2: reference added. V3: revised version accepted for publication in JHEP. V4: Added funding information

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Cited by in corpus (5)

• Gravitational Footprints of Black Holes and Their Microstate Geometries
• Fuzzball Shadows: Emergent Horizons from Microstructure
• Resolving Black-Hole Microstructure with New Momentum Carriers
• Toroidal Tidal Effects in Microstate Geometries
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme