Holographic anatomy of fuzzballs

Abstract

We present a comprehensive analysis of 2-charge fuzzball solutions, that is, horizon-free non-singular solutions of IIB supergravity characterized by a curve on R^4. We propose a precise map that relates any given curve to a specific superposition of R ground states of the D1-D5 system. To test this proposal we compute the holographic 1-point functions associated with these solutions, namely the conserved charges and the vacuum expectation values of chiral primary operators of the boundary theory, and find perfect agreement within the approximations used. In particular, all kinematical constraints are satisfied and the proposal is compatible with dynamical constraints although detailed quantitative tests would require going beyond the leading supergravity approximation. We also discuss which geometries may be dual to a given R ground state. We present the general asymptotic form that such solutions must have and present exact solutions which have such asymptotics and therefore pass all kinematical constraints. Dynamical constraints would again require going beyond the leading supergravity approximation.

87 pages, begins with 10 page self contained summary of results;v2:JHEP version; v3: typos corrected, see in particular formula D.16

References in corpus (10)

• Holographic Renormalization of Probe D-Branes in AdS/CFT
• Mergers and Typical Black Hole Microstates
• Kaluza-Klein Holography
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• D1-D5 black hole microstate counting from supergravity
• Magic Supergravities, N= 8 and Black Hole Composites
• Holographic Coulomb branch vevs
• The Gravitational Description of Coarse Grained Microstates
• A microstate for the 3-charge black ring
• Sliding Rings and Spinning Holes

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