Observational constraints on cosmic string production during brane inflation

Overall, brane inflation is compatible with the recent analysis of the Wilkinson microwave anisotropy probe ~WMAP! data. Here we explore the constraints of WMAP and the 2dF Galaxy Redshift Survey ~2dFGRS! data on the various brane inflationary scenarios. Brane inflation naturally ends with the production of cosmic strings, which may provide a way to distinguish these models observationally. We argue that currently available data cannot exclude a non-negligible contribution from cosmic strings definitively. We perform a partial statistical analysis of mixed models that include a subdominant contribution from cosmic strings. Although the data favor models without cosmic strings, we conclude that they cannot definitively rule out a cosmic-stringinduced contribution of ;10% to the observed temperature, polarization and galaxy density fluctuations. These results imply that Gm&1.3310ABl/0.1, where l<1 is a measure of the intercommutation probability of the cosmic string networks and B measures the importance of perturbations induced by cosmic strings. We argue that, conservatively, the data available currently still permit B&0.1. Precision measurements sensitive to the B-mode polarization produced by vector density perturbation modes driven by the string network could provide evidence for these models. Accurate determinations of ns(k), the scalar fluctuation index, could also distinguish among various brane inflation models.