Fuzzballs with internal excitations

Abstract

We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T^4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T^4 for the K3 and T^4 cases, respectively. We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T^4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.

65 pages, 45 + appendices

References in corpus (4)

• Kaluza-Klein Holography
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• Holographic Coulomb branch vevs
• The Gravitational Description of Coarse Grained Microstates

Cited by in corpus (13)

• The fuzzball proposal for black holes
• Black Holes as Effective Geometries
• Radiation from the non-extremal fuzzball
• Anatomy of bubbling solutions
• Matching of correlators in AdS_3/CFT_2
• Non-supersymmetric microstates of the D1-D5-KK system
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Emission from the D1D5 CFT
• Quantum geometry and gravitational entropy
• Geometry of non-supersymmetric three-charge bound states
• On the gravitational stability of D1-D5-P black holes
• Black Hole Berry Phase
• Coarse-graining of bubbling geometries and the fuzzball conjecture