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

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We here generalize our previous construction [hep-th/0409019] of non-supersymmetric p-branes delocalized in one transverse spatial direction to two transverse spatial directions in supergravities in arbitrary dimensions (d). These solutions are characterized by five parameters. We show how these solutions 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 Dp-branes by adjusting and scaling the parameters in suitable ways. This picture is very similar to the descent relations obtained by Sen in the open string effective description of non-BPS D(p+1) brane and BPS Dp-brane as the respective tachyonic 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-duality transformation which also has the effect of increasing (or decreasing) the dimensionality of the branes by one.