BPS Geometries and AdS Bubbles

TL;DR

This paper extends 1/2-BPS AdS bubble solutions in gauged supergravity by adding gauge and scalar fields, resulting in new multi-charge bubble solutions across various dimensions that preserve different fractions of supersymmetry.

Contribution

It introduces new AdS bubble solutions with additional gauge and scalar fields in multiple dimensions, generalizing known black hole solutions and preserving various fractions of supersymmetry.

Findings

Constructed AdS bubble solutions in 7, 5, 4, and 6 dimensions.

Solutions can be lifted to M-theory or type IIB string theory.

Preserve supersymmetry fractions 1/4, 1/8, and 1/8.

Abstract

Recently, 1/2-BPS AdS bubble solutions have been obtained by Lin, Lunin and Maldacena, which correspond to Fermi droplets in phase space in the dual CFT picture. They can be thought of as generalisations of 1/2-BPS AdS black hole solutions in five or seven dimensional gauged supergravity. In this paper, 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 1/4, 1/8 and 1/8 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.