Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-31
Phys.Rev.D74:064015,2006
Physics
High Energy Physics
High Energy Physics - Theory
52 pages; 24 figures; v2: minor changes, references added, version to be published in PRD
Scientific paper
10.1103/PhysRevD.74.064015
We consider solutions of the four dimensional Einstein-Yang-Mills system with a negative cosmological constant $\Lambda=-3g^2$, where $g$ is the nonabelian gauge coupling constant. This theory corresponds to a consistent truncation of ${\cal N}=4$ gauged supergravity and may be uplifted to $d=11$ supergravity. A systematic study of all known solutions is presented as well as new configurations corresponding to rotating regular dyons and rotating nonabelian black holes. The thermodynamics of the static black hole solutions is also discussed. The generic EYM solutions present a nonvanishing magnetic flux at infinity and should give us information about the structure of a CFT in a background SU(2) field. We argue that the existence of these configurations violating the no hair conjecture is puzzling from the AdS/CFT point of view.
Mann Robert B.
Radu Eugen
Tchrakian D. H.
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