All-order consistency of 5d sugra vacua

We show that the maximally supersymmetric vacua of d=5 N=1 sugra remain maximally supersymmetric solutions when taking into account higher order corrections.Comment: 7 pages LaTeX: fixed a flaw in the argumentation, conclusions unchange

Back to the Market: The Debt Problem in Legal Perspective

This article argues that the debt problem can be attributed to the failure on the part of those who operated the huge market of recycled petro-dollars in the late 70s and early 80s. The author then discusses how reinforcement of a decentralized decision-making system depends on three factors; transparency, market entry, and confining state regulation

Newtonian M(atrix) Cosmology

A Newtonian matrix cosmology, correspoding to the BFSS model of eleven-dimensional M-theory in the IMF as a (0+1) M(atrix) model is constructed. Interesting new results are obtained, such as the existence of (much sought for in the past) static solutions. The possible interpretation of the off-diagonal entries as a background geometry is also briefly discussed.Comment: 9 pages, Latex2

N=2 Super-EYM coloured black holes from defective Lax matrices

We construct analytical supersymmetric coloured black hole solutions, i.e. non-Abelian black hole solutions that have no asymptotic non-Abelian charge but do have non-Abelian charges on the horizon that contribute to the Bekenstein-Hawking entropy, to two SU(3)-gauged N=2 d= supergravities. The analytical construction is made possible due to the fact that the main ingredient is the Bogomol'nyi equation, which under the assumption of spherical symmetry admits a Lax pair formulation. The Lax matrix needed for the coloured black holes must be defective which, even though it is the non-generic and less studied case, is a minor hindrance.Comment: 20 pages, 1 figure; to be published versio

Transformation of Black-Hole Hair under Duality and Supersymmetry

We study the transformation under the String Theory duality group of the observable charges (mass, angular momentum, NUT charge, electric, magnetic and different scalar charges) of four dimensional point-like objects whose asymptotic behavior constitutes a subclass closed under duality. The charges fall into two complex four-dimensional representations of the duality group. T duality (including Buscher's) has an O(1,2) action on them and S duality a U(1) action. The generalized Bogomol'nyi bound is an U(2,2)-invariant built out of one representations while the other representation (which includes the angular momentum) never appears in it. The bound is manifestly duality-invariant. Consistency between T duality and supersymmetry requires that primary scalar hair is included in the Bogomol'nyi bound. Four-dimensional supersymmetric massless black holes are the T duals in time of massive supersymmetric black holes. Non-extreme massless ``black holes'' are the T duals of the non-extreme black holes and have primary scalar hair and naked singularities.Comment: LateX file, 48 page