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BPS geometries and AdS bubbles. (English) Zbl 1247.83222

Summary: Recently, \(\frac12\)-BPS AdS bubble solutions have been obtained by H. Lin, O. Lunin and J. M. Maldacena [J. High Energy Phys. 2004, No. 10, 025, 68 p. (2004)] which correspond to Fermi droplets in phase space in the dual CFT picture. They can be thought of as generalisations of \(\frac12\)-BPS AdS black hole solutions in five- or seven-dimensional gauged supergravity. In this letter, we extend these solutions by invoking additional gauge fields and scalar fields in the supergravity Lagrangians, thereby obtaining AdS bubble generalisations of the previously-known multi-charge AdS black solutions of gauged supergravity. We also obtain analogous AdS bubble solutions in four-dimensional gauged supergravity. Our solutions generically preserve supersymmetry fractions \(\frac14,\;\frac18\) and \(\frac18\) in seven, five and four dimensions, respectively. They can be lifted to M-theory or type IIB string theory, using previously known formulae for the consistent Pauli sphere reductions that yield the gauged supergravities. We also find similar solutions in six-dimensional gauged supergravity, and discuss their lift to the massive type IIA theory.

MSC:

83E50 Supergravity
83E30 String and superstring theories in gravitational theory

References:

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