Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-15
JHEP 0704:023,2007
Physics
High Energy Physics
High Energy Physics - Theory
87 pages, begins with 10 page self contained summary of results;v2:JHEP version; v3: typos corrected, see in particular formul
Scientific paper
10.1088/1126-6708/2007/04/023
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.
Kanitscheider Ingmar
Skenderis Kostas
Taylor Michael
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