A Tutorial on Links between Cosmic String Theory and Superstring Theory

Abstract

Cosmic superstrings are introduced to non-experts. First D-branes and $(p,q)$ strings are discussed. Then we explain how tachyon condensation in the early universe may have produced F, D and $(p,q)$ strings. Warped geometries which can render horizon sized superstrings relatively light are discussed. Various warped geometries including the deformed conifold in the Klebanov-Strassler geometry are reviewed and their warp factors are calculated. The decay rates for strings in the KS geometry are calculated and reasons for the necessity of orientifolds are reviewed. We then outline calculations of the intercommuting probability of F, D and $(p,q)$ strings and explain in detail why cosmic superstring intercommuting probabilities can be small. We explore cosmic superstring networks. Their scaling properties are examined using the Velocity One Scale model and its extra dimensional extensions. Two different approaches and two sets of simulations are reviewed. Finally, we review in detail the gravitational wave amplitude calculations for strings with intercommuting probability $P<1$.