Abstract
We study nonspinning $Q$-balls and boson stars in four-dimensional anti-de Sitter (AdS) space-time. We use an exponential scalar field potential that appears in gauge-mediated supersymmetry (SUSY) breaking in the minimal supersymmetric extension of the Standard Model (MSSM). We investigate the dependence of the charge and mass of these nontopological solitons on the negative cosmological constant, the frequency that appears in the periodic time dependence, and the ratio between the SUSY-breaking scale and the Planck mass. Next to fundamental solutions without nodes in the scalar field function, we also construct radially excited solutions. In the second part of the paper we put the emphasis on the holographic interpretation of these solutions in terms of Bose-Einstein condensates of scalar glueballs that are described by a strongly coupled quantum field theory (QFT) on the boundary of global AdS.
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