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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)

An analytical proof of the existence of negative modes in the odd–parity perturbation sector is given for all known non-Abelian Einstein–Yang–Mills black holes. The significance of the normalizability condition in the functional stability analysis is emphasized. The role of the odd–parity negative modes in the sphaleron interpretation of the… (More)

It is shown that the well-known non-Abelian static SU(2) black hole solutions have rotating generalizations, provided that the hypothesis of linearization stability is accepted. Surprisingly, this rotating branch has an asymptotically Abelian gauge field with an electric charge that cannot vanish, although the non-rotating limit is uncharged. We argue that… (More)

A detailed quantitative analysis of the transition process mediated by a sphaleron type non-Abelian gauge field configuration in curved spacetime is carried out. By examining spectra of the fluctuation operators and applying the zeta function regularization scheme, a closed analytical expression for the transition rate at the one-loop level is derived. This… (More)

It is argued that the sphaleron solutions appearing in the Einstein-Yang-Mills theory are important in the transition processes at extremely high energies. Namely, when the energy exceeds the sphaleron mass, the existence of these solutions ensures constructive interference on the set of the overbarrier transition histories interpolating between distinct… (More)