Static, non-SUSYp-branes in diverse dimensions

Abstract

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.

Intersecting non-SUSYp-brane with chargeless 0-brane as blackp-brane

“…This branch can give rise to the regular horizon formation for the black brane where the underlying dynamics is governed by the possible closed string tachyon condensation as discussed by Horowitz in [14,15] and evolves into a non-susy "bubble of nothing". In this branch one of the parameters of the solution becomes unbounded in general and as such makes the solution complex [1], signalling a possible phase transition and this is consistent with our above observation. We will give some evidence for this.…”

“…[1], containing a parameter δ which was bounded from above for the solution to remain real. Right at the bounded value, the corresponding configuration has a null-singular horizon.…”

“…This solution as discussed in ref. [1] is characterized by three independent SUGRA parameters ω, θ and δ 1 . In ref.…”

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

“…In fact it is easy to see that when (3.17) is satisfied the H H factor in both the terms (dr 2 + r 2 dΩ 2 6−p ) and dx 2 p+2 match, but there is an additional (HH) 2/(5−p) factor in front of the first term which does not contribute to the linear term or the e-m tensor, but forbids the metric to take a localized non-BPS D(p + 1)-brane form. Furthermore, we point out that even if we ignore the non-linear part of (HH) factor, the metrics in (3.1) can not be regarded as localized non-BPS D(p + 1) branes because the parameter relation (3.16) differs from that of a localized non-BPS brane solutions [9]. Now we will see how the delocalized solutions in (3.1) reduce to BPS p-branes.…”

“…We identify the above solutions as D(p+2)-D(p+2)-brane systems with zero net charge [12,13,9]. It should be remarked here that since F [8−p] = 0, (3.11) can also represent non-BPS D(p + 2)-branes [14] in the T-dual theory of the theory we start with in (2.1).…”