Non-Abelian vacua in D=5, N=4 gauged supergravity

Details Non-Abelian vacua in D=5, N=4 gauged supergravity Non-Abelian vacua in D=5, N=4 gauged supergravity

2001-01-29

arxiv.org/abs/hep-th/0101202v2

JHEP 0104:023,2001

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX, 2 eps figures; references added

Scientific paper

10.1088/1126-6708/2001/04/023

We study essentially non-Abelian backgrounds in the five dimensional N=4 gauged SU(2)$\times$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 supersymmetric Killing spinors we derive the Bogomol'nyi equations and obtain their globally regular solutions. The SO(4) symmetric configurations contain the purely magnetic non-Abelian fields together with the purely electric Abelian field and possess two unbroken supersymmetries. The SO(3) configurations have only the non-Abelian fields and preserve four supersymmetries.

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