AdS{sub 5} solutions in Einstein-Yang-Mills-Chern-Simons theory

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.064005· OSTI ID:21409398

Brihaye, Yves ^[1]; Radu, Eugen ^[2]; Tchrakian, D H ^[3]

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1. Physique-Mathematique, Universite de Mons, Mons (Belgium)
2. Institut fuer Physik, Universitaet Oldenburg, Postfach 2503 D-26111 Oldenburg (Germany)
3. Department of Computer Science, National University of Ireland Maynooth, Maynooth (Ireland)

We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the Chern-Simons coefficient, this model can be viewed as a truncation of the five-dimensional maximal gauged supergravity and we expect that the basic properties of the solutions in the full model to persist in this truncation. Both globally regular, particlelike solutions and black holes are considered. In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically symmetric limit. We find two types of solutions: the generic configurations whose magnetic gauge field does not vanish fast enough at infinity (although the spacetime is asymptotically AdS), whose mass function is divergent, and the special configurations, whose existence depends on the Chern-Simons term, which are endowed with finite mass. In the case of the generic configurations, we argue that the divergent mass implies a nonvanishing trace for the stress tensor of the dual d=4 theory.

• OSTI ID: 21409398
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevD.81.064005; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ANTI DE SITTER SPACE
BLACK HOLES
CONFIGURATION
COSMOLOGICAL CONSTANT
GAUGE INVARIANCE
MANY-DIMENSIONAL CALCULATIONS
MASS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SO-6 GROUPS
SPACE-TIME
SUPERGRAVITY
SYMMETRY
YANG-MILLS THEORY
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
SO GROUPS
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SYMMETRY GROUPS
UNIFIED-FIELD THEORIES