Static, non-SUSY p-branes in diverse dimensions

We give explicit constructions of static, non-supersymmetric p-brane (for p ≤ d − 4, where d is the space-time dimensionality and including p = −1 or D-instanton) solutions of type II supergravities in diverse dimensions. A subclass of these are the static counterpart of the time dependent solutions obtained in [hep-th/0309202]. Depending on the forms of the nonextremality function G(r) defined in the text, we discuss various possible solutions and their region of validity. We show how one class of these solutions interpolate between the p-brane– anti p-brane solutions and the usual BPS p-brane solutions in d = 10, while the other class, although have BPS limits, do not have such an interpretation. We point out how the time dependent solutions mentioned above can be obtained by a Wick rotation of one class of these static solutions. We also discuss another type of solutions which might seem non-supersymmetric, but we show by a coordinate transformation that they are nothing but the near horizon limits of the various BPS p-branes already known. E-mail: [email protected] E-mail: [email protected] 1