Cosmological constraints on strongly coupled moduli from cosmic strings

Abstract

Cosmic (super)string loops emit moduli as they oscillate under the effect of their tension. Abundance of such moduli is constrained by diffuse gamma ray background, dark matter, and primordial element abundances if their lifetime is of the order of the relevant cosmic time. It is shown that the constraints on string tension $G\ensuremath{\mu}$ and modulus mass $m$ are significantly relaxed for moduli coupling to matter stronger than gravitational strength which appears to be quite generic in large volume and warped compactification scenarios in string theory. It is also shown that thermal production of strongly coupled moduli is not efficient, hence free from constraints. In particular, the strongly coupled moduli in warped and large volume compactification scenarios and the radial modulus in the Randall-Sundrum model are found to be free from the constraints when their coupling constant is sufficiently large.