We study non-spinning Q-balls and boson stars in 4-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 non-topological solitons on the negative cosmological
constant, the frequency that appears in the periodic time-dependence as well as
on 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.Comment: 17 pages including 11 figures; v2: 19 pages including 13 figures,
references added, figures adde