The dynamical creation/annihilation of a Dp-brane from D(p − 2) branes

We discuss how to generate a dynamical Dp-brane with a topology of $R^{p-2}\times S^2$ from N D(p − 2)-branes with $R^{p-2}$ topology with or without the presence of a constant RR (p + 2)-form flux. This extends the previous work (Chen and Lu 2004 arXiv:hep-th/0405265) of generating a dynamical spherical D2 brane from N D0 branes in a constant RR four-form flux to a general p. In particular, dynamically generating a higher dimensional brane from lower dimensional ones does not necessarily need the presence of a relevant RR background flux but needs excess energy, lending support to the spacetime uncertainty principle. The time evolution of the dynamical p-brane for a general p remains the same as for the p = 2 case, however there is a class of spatial dependent Dp configurations when p ≥ 3. Some of these spatial-dependent Dp brane configurations and their properties have been discussed previously which can also be obtained from the time-dependent one by euclideanizing the time. Properties of the spatial-dependent solutions and their relations to the corresponding brane-anti brane system are discussed. (paper)