Adding momentum to supersymmetric geometries

Abstract

We consider general supersymmetric solutions to minimal supergravity in six dimensions, trivially lifted to IIB supergravity. To any such solution we add a travelling-wave deformation involving the additional directions. The deformed solution is given in terms of a function which is harmonic in the background geometry. We also present a family of explicit examples describing microstates of the D1-D5 system on T^4. In the case where the background contains a large AdS region, the deformation is identified as corresponding to an action of a U(1) current of the D1-D5 orbifold CFT on a given state.

37 pages

References in corpus (6)

• The fuzzball proposal for black holes
• Gravity solutions for the D1-D5 system with angular momentum
• Fuzzballs with internal excitations
• Black Holes and Beyond
• An Infinite-Dimensional Family of Black-Hole Microstate Geometries
• Momentum-carrying waves on D1-D5 microstate geometries

Cited by in corpus (55)

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• Superdescendants of the D1D5 CFT and their dual 3-charge geometries
• Supercharging Superstrata
• Resolving the Structure of Black Holes: Philosophizing with a Hammer
• The flaw in the firewall argument
• Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
• Holomorphic Waves of Black Hole Microstructure
• Effect of the deformation operator in the D1D5 CFT
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• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Superstrata
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• Little Strings, Long Strings, and Fuzzballs
• AdS${}_3$ Holography at Dimension Two
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
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• Oscillating supertubes and neutral rotating black hole microstates
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• The dark side of fuzzball geometries
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• Bolting Multicenter Solutions
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• Perturbative 3-charge microstate geometries in six dimensions
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• Microstate geometries at a generic point in moduli space
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• Fortuity and Supergravity
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