  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.
