Holographic anatomy of fuzzballs

By Ingmar Kanitscheider, Kostas Skenderis, Marika Taylor. 2006

161 citations recorded by the source corpus.

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 R4. 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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cd5b58354ab2b95d0100fdd19145785a4424a53d

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Citations in the corpus

Fuzzballs with internal excitations (2007, methodology): “In section 6 we discuss the correspondence between geometries and R vacua, extending the proposal of [11, 12] and using the holographic vevs to test this proposal.”
Black holes, black rings and their microstates (2007, background): “1 Two-charge systems These questions have been addressed for the simpler D1-D5 system(2) by Mathur, Lunin, Maldacena, Maoz, and others, [5, 6, 7, 8, 9, 10], see [11] for earlier work in this direction, and [12] for a review of that work.”
Black holes as effective geometries (2008, methodology): “In [21, 25, 56, 87] various quantities in the CFT and supergravity were compared.”
Topologically Massive Gravity and the AdS/CFT Correspondence (2009, background): “[36], appendix E, contains an example of 3d gravity coupled to scalars with log(2) terms in the asymptotic expansion.”
Habemus superstratum! A constructive proof of the existence of superstrata (2015, methodology): “The mode analysis and holographic dictionary of this background is extremely well-understood [19,20].”
The fuzzball proposal for black holes (2008, methodology): “The corresponding SO(5, nt) matrix of scalar fields may be found in [21, 22].”