Bubbling AdS3

In the light of the recent Lin, Lunin, Maldacena (LLM) results we investigate1/2-BPS geometries in minimal (and next-to minimal) supergravity in D=6dimensions. In the case of minimal supergravity, solutions are given byfibrations of a two-torus T^2 specified by two harmonic functions. For arectangular torus the two functions are related by a non-linear equation withrare solutions: AdS_3x S^3, the pp-wave and the multi-center string.``Bubbling'', i.e. superpositions of droplets, is accommodated by allowing thecomplex structure of the T^2 to vary over the base. The analysis is repeated inthe presence of a tensor multiplet and similar conclusions are reached withgeneric solutions describing D1D5 (or their dual fundamental string-momentum)systems. In this framework, the profile of the dual fundamental string-momentumsystem is identified with the boundaries of the droplets in a two-dimensionalplane.Comment: 20 pages, 4 figures. v3: Minor corrections in section 2.