Delocalized, non-SUSY p-branes, tachyon condensation and tachyon matter

Abstract

We construct non-supersymmetric p-brane solutions of type II supergravities in arbitrary dimensions (d) delocalized in one of the spatial transverse directions. By a Wick rotation we convert these solutions into Euclidean p-branes delocalized in the transverse time-like direction. The former solutions in d = 10 nicely interpolate between the (p+1)-dimensional non-BPS D-branes and the p-dimensional BPS D-branes very similar to the picture of tachyon condensation for the tachyonic kink solution on the non-BPS D-branes. On the other hand the latter solutions interpolate between the (p+1)-dimensional non-BPS D-branes and the tachyon matter supergravity configuration very similar to the picture of rolling tachyon on the non-BPS D-branes.