Dynamics of interconnecting D-branes
A. Morosov · CERN Document Server (European Organization for Nuclear Research) · 1999
In this dissertation we have studied several stable and unstable configurations of D-branes, string theory nonperturbative objects spanning several dimensions and heavy in the perturbative string theory limit. When an initial state is unstable, a tachyon mediated D-brane - D-brane annihilation will happen. We have described these decay processes from the world-volume gauge field theory point of view. One particular initial state was chosen in the form of two D-branes crossing at a non-zero angle, which breaks supersymmetry generically and may become unstable. In this model we had the tight control over the behavior of the theory, since one of the parameters of the explicit SUSY breaking, the angle of intersection, could have been chosen arbitrarily small. We found exact conditions in the limits chosen that define the instability for the system and found governing equations to describe the growth of the instability. Also we offered several applications of this model to the D-brane physics and conclusions about stability of configurations similar to the model described. To extend our analytical calculations to the area where no analytical solution could be found, we performed finite difference numerical simulations for several particular initial configurations. The computational results support our general conclusions about the final state and provide us with a dynamical picture of breaking D-strings.