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We study static, spherically symmetric, and purely magnetic solutions of SU(2) × SU(2) gauge supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/8 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. These… (More)

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)

- S S Gubser, A A Tseytlin, M S Volkov
- 2001

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)

- M S Volkov, N Straumann, G Lavrelashvili, M Heusler, O Brodbeck
- 1996

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)

We present a review of gravitating particle-like and black hole solutions with non-Abelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton physics. We describe the Bartnik-McKinnon solitons and the non-Abelian black holes arising in the Einstein-Yang-Mills… (More)

We study essentially non-Abelian backgrounds in the five dimensional N=4 gauged SU(2)×U(1) supergravity. Static configurations that are invariant under either the SO(4) spatial rotations or with respect to the SO(3) rotations and translations along the fourth spatial coordinate are considered. By analyzing consistency conditions for the equations for… (More)

We prove that every semigroup S whose quasivariety contains a 3-nilpotent semigroup or a semigroup of index more than 2 has no finite basis for its quasi-identities provided that one of the following properties holds: • S is finite; • S has a faithful representation by injective partial maps on a set; • S has a faithful representation by order preserving… (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)

- Dan Feldman, Mikhail Volkov, Daniela Rus
- NIPS
- 2016

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)

- Jiří Tůma, Jan Krajíček, +43 authors Anna Romanowska
- 2010

We provide sucient conditions for a lattice polynomial function to be self-commuting. We explicitly describe self-commuting polynomial functions over chains.