Fractional Dp-branes with transverse and tangential dynamics in the presence of background fluxes

Abstract

We shall construct two boundary states which are corresponding to a dynamical fractional D[Formula: see text]-brane in the presence of the fluxes of the Kalb–Ramond field and a [Formula: see text] gauge potential in the partially orbifold space–time [Formula: see text]. These states accurately describe the D[Formula: see text]-brane in the twisted and untwisted sectors under the orbifold projection. We use them to compute the interaction of two parallel fractional D[Formula: see text]-branes with the transverse velocities, tangential rotations and tangential linear motions. Various properties of the interaction, such as its long-range force, will be discussed.