Abstract: We discuss the dynamics of probe branes on various dynamical brane backgrounds and the condition under which the velocity-independent force vanishes. To study probe brane dynamics moving on dynamical brane backgrounds, we introduce dynamical brane solutions and consider the gauge-fixing condition. The static gauge is consistently taken even for the dynamical backgrounds but it gives rise to an additional constraint as the consistency condition. This constraint leads to the supersymmetric intersection rules for the static branes, while the dynamical backgrounds preserve no supersymmetry. This is a specific feature of the dynamical backgrounds since the static gauge condition gives rise to no constraint on the brane configuration in the case of the static background. Furthermore, due to the constraint, it follows that there is no velocity-independent force for the probe brane even on the dynamical backgrounds.
Place: Physics Dept. Meeting Room, 2th floor, IST