Interaction of dynamical fractional branes with background fields: Superstring calculations

Abstract

We compute the boundary state corresponding to a fractional Dp-brane with transverse motion and internal background fields: Kalb–Ramond and a U(1) gauge field. The space–time has the orbifold structure [Formula: see text]. The calculations are in the superstring theory. Using this boundary state we shall obtain the interaction amplitude between two parallel moving fractional Dp-branes. We shall extract behavior of the interaction amplitude for large distances of the branes.