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We study static, spherically symmetric, and purely magnetic solutions of the N=4 gauged supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. We show(More)
We study extremal and non-extremal generalizations of the regular non-abelian monopole solution of [23], interpreted in [9] as 5-branes wrapped on a shrinking S 2. Naively, the low energy dynamics is pure N = 1 supersymmetric Yang-Mills. However , our results suggest that the scale of confinement and chiral symmetry breaking in the Yang-Mills theory(More)
We present a numerical classification of the spherically symmetric, static solutions to the Einstein–Yang–Mills equations with cosmological constant Λ. We find three qualitatively different classes of configurations, where the solutions in each class are characterized by the value of Λ and the number of nodes, n, of the Yang–Mills amplitude. For(More)
In this article, we discuss mechanisms responsible for the effects of heat treatment on increasing subsequent survival in the nematode worm Caenorhabditis elegans. We assume that the balance between damage associated with exposure to thermal stress and the level of heat shock proteins produced plays a key role in forming the age-pattern of mortality and(More)
In this paper we present a practical solution with performance guarantees to the problem of dimensionality reduction for very large scale sparse matrices. We show applications of our approach to computing the Principle Component Analysis (PCA) of any n × d matrix, using one pass over the stream of its rows. Our solution uses coresets: a scaled subset of the(More)