Non-SUSYp-branes delocalized in two directions, tachyon condensation and T-duality

We here generalize our previous construction [hep-th/0409019] ofnon-supersymmetric $p$-branes delocalized in one transverse spatial directionto two transverse spatial directions in supergravities in arbitrary dimensions($d$). These solutions are characterized by five parameters. We show how thesesolutions in $d=10$ interpolate between D($p+2$)-anti-D($p+2$) brane system,non-BPS D$(p+1)$-branes (delocalized in one direction) and BPS D$p$-branes byadjusting and scaling the parameters in suitable ways. This picture is verysimilar to the descent relations obtained by Sen in the open string effectivedescription of non-BPS D$(p+1)$ brane and BPS D$p$-brane as the respectivetachyonic kink and vortex solutions on the D$(p+2)$-anti-D$(p+2)$ brane system(with some differences). We compare this process with the T-dualitytransformation which also has the effect of increasing (or decreasing) thedimensionality of the branes by one.Comment: 19 pages, late