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Bubbling AdS3

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arxiv hep-th/0412136 v3 pith:XPJOKRE3 submitted 2004-12-13 hep-th

Bubbling AdS3

classification hep-th
keywords minimalsolutionsbubblingdropletsdualfunctionsfundamentalstring-momentum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the light of the recent Lin, Lunin, Maldacena (LLM) results we investigate 1/2-BPS geometries in minimal (and next-to minimal) supergravity in D=6 dimensions. In the case of minimal supergravity, solutions are given by fibrations of a two-torus T^2 specified by two harmonic functions. For a rectangular torus the two functions are related by a non-linear equation with rare solutions: AdS_3x S^3, the pp-wave and the multi-center string. ``Bubbling'', i.e. superpositions of droplets, is accommodated by allowing the complex structure of the T^2 to vary over the base. The analysis is repeated in the presence of a tensor multiplet and similar conclusions are reached with generic solutions describing D1D5 (or their dual fundamental string-momentum) systems. In this framework, the profile of the dual fundamental string-momentum system is identified with the boundaries of the droplets in a two-dimensional plane.

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