Glueball condensates as holographic duals of supersymmetric Q-balls and boson stars

TL;DR

This paper explores non-spinning Q-balls and boson stars in AdS space using a SUSY-motivated scalar potential, analyzing their properties and holographic duals as scalar glueball condensates in a strongly coupled boundary QFT.

Contribution

It introduces a detailed study of SUSY-inspired Q-balls and boson stars in AdS, including excited states and their holographic interpretation as scalar glueball condensates.

Findings

Charge and mass depend on cosmological constant and SUSY breaking scale.

Constructed fundamental and radially excited solutions.

Holographic duals interpreted as Bose-Einstein condensates of scalar glueballs.

Abstract

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.