Non-Abelian solutions in AdS{sub 4} and d=11 supergravity

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.064015· OSTI ID:20871217

Mann, Robert B ^[1]; Radu, Eugen ^[2]; Tchrakian, D H ^[2]

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1. Department of Physics, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada)
2. Department of Mathematical Physics, National University of Ireland, Maynooth (Ireland)

We consider solutions of the four-dimensional Einstein-Yang-Mills (EYM) system with a negative cosmological constant {lambda}=-3g{sup 2}, where g is the non-Abelian gauge coupling constant. This theory corresponds to a consistent truncation of 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 non-Abelian 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 conformal field theory (CFT) in a background SU(2) field. We argue that the existence of these configurations violating the no-hair conjecture is puzzling from the anti-de Sitter (AdS)/CFT point of view.

• OSTI ID: 20871217
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CONFORMAL INVARIANCE
COSMOLOGICAL CONSTANT
COUPLING CONSTANTS
DE SITTER GROUP
DYONS
MAGNETIC FLUX
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SUPERGRAVITY
THERMODYNAMICS
YANG-MILLS THEORY