Non-Abelian Solutions in AdS4 and d=11 Supergravity

Mann, Robert B. and Radu, Eugen and Tchrakian, D. H. (2006) Non-Abelian Solutions in AdS4 and d=11 Supergravity. Physical Review D, 74 (6). ISSN 1550-7998

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We consider solutions of the four dimensional Einstein-Yang-Mills system with a negative cosmological constant Λ = −3g^2 , where g is the nonabelian 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 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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:32
Last Modified: 14 Dec 2022 15:01

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