Gravitational Waves from Multiple Cosmic Superstrings and the Overshoot Problem

Abstract

Post inflationary string cosmology can feature an initial population of multiple species of cosmic superstrings whose tension is controlled by a modulus rolling over a steep potential toward a late-time minimum. We perform a full analysis of the associated dynamical system, finding that overshooting the minimum is prevented by the friction of a radiation background of gravitational waves produced from the early decay of effective strings arising from NS5- and D3-branes wrapped around internal cycles. On the other hand, fundamental strings survive longer and decay when the modulus is oscillating around the minimum and they have about $1/3$ of the total energy density. The spectrum of gravitational waves generated by the decays of these multiple cosmic superstrings, even if diluted by a late epoch of modulus domination, can still result in a high-frequency, multi-peaked signal, offering an observational signature of generic features of string theory.