AdS_{5} solutions in EinsteinYangMillsChernSimons theory
Abstract
We investigate static, spherically symmetric solutions of an EinsteinYangMillsChernSimons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the ChernSimons coefficient, this model can be viewed as a truncation of the fivedimensional 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 ChernSimons 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 ChernSimons 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.
 Publication:

Physical Review D
 Pub Date:
 March 2010
 DOI:
 10.1103/PhysRevD.81.064005
 arXiv:
 arXiv:0911.0153
 Bibcode:
 2010PhRvD..81f4005B
 Keywords:

 04.20.Jb;
 Exact solutions;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 21 pages, 8 figures