SupersymmetricQ-balls and boson stars in(d+1)dimensions

Abstract

We construct supersymmetric Q-balls and boson stars in (d + 1) dimensions. These non-topological solitons are solutions of a scalar field model with global U (1) symmetry and a scalar field potential that appears in gauge-mediated supersymmetry (SUSY) breaking in the minimal supersymmetric extension of the Standard Model (MSSM). We are interested in both the asymptotically flat as well as in the asymptotically Anti-de Sitter (AdS) solutions. In particular, we show that for our choice of the potential gravitating, asymptotically flat boson stars exist in (2 + 1) dimensions. We observe that the behaviour of the mass and charge of the asymptotically flat solutions at the approach of the maximal frequency depends strongly on the number of spatial dimensions. In particular, we find that in the "thick-wall limit" Q-balls are always unstable in flat space-time, but that they can become stable in AdS. Moreover, for the asymptotically AdS solutions the model on the conformal boundary can be interpreted as describing d-dimensional condensates of scalar glueballs.

Rotating boson stars in five-dimensional Einstein-Gauss-Bonnet gravity

“…several Figs. in [14]). For a given value of the particle number Q, the solutions with the lowest mass lies on the branch directly connected to the vacuum (corresponding to the small values of φ(0)); the solutions corresponding to the high values of φ(0) have a slightly higher mass and, therefore, are likely unstable.…”

“…Recently several authors addressed the existence and the construction of globally regular solutions in scalar field theories coupled (minimally or not) to gravity in more than four dimensions [12], [13], [14]. Several features of the four-dimensional boson stars hold also in higher dimensions.…”

Self-interacting boson stars with a single Killing vector field in anti–de Sitter space-time

“…This type of potential was used previously in the construction of spherically symmetric boson stars in aAdS [9,10]. This potential is a continuous version of a scalar field potential that appears in gauge-mediated Supersymmetry (SUSY) breaking [11,12].…”

“…These have been studied in several papers [8,10,20]. In this paper, we concentrate on the rotating solutions by using the Ansatz (9).…”

“…Spherically symmetric, non-rotating minimal boson stars in aAdS have been first discussed in [8] and for a massive, self-interacting scalar field and in a various number of spatial dimensions in [9,10]. The nonlinear stability of spherically symmetric, non-rotating minimal boson stars in (3+1)-dimensional aAdS has been discussed in [13,14] and it was found that the fundamental as well as the first few radially excited solutions are non-linearly stable.…”