Testing B-ball cosmology with the CMB

Abstract

In D-term inflation models, the fluctuations of squark fields in the flat directions give rise to isocurvature density fluctuations stored in the Affleck-Dine condensate. After the condensate breaks up in B-balls, these can be perturbations in the baryon number, or, in the case where the present neutralino density comes directly from B-ball decay, perturbations in the number of dark matter neutralinos. The latter case results in a large enhancement of the isocurvature perturbation. In this case, the requirement that the deviation of the adiabatic perturbations from scale invariance due to the Affleck-Dine field is not too large imposes a lower bound on the magnitude of the isocurvature fluctuation of about $10^{-2}$ times the adiabatic perturbation. This should be observable by MAP and PLANCK.