2001/01/31 by Ali H. Chamseddine, Ali H Chamseddine, Mikhail S. Volkov +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2001/04/023
published as JHEP 0104:023,2001 · 13 pages, LaTeX, 2 eps figures; references added
arxiv created 2001/02/09 · openalex publication_date 2001/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study essentially non-Abelian backgrounds in the five dimensional N=4 gauged SU(2)×U(1) supergravity. Static configurations that are invariant under either the SO(4) spatial rotations or with respect to the SO(3) rotations and translations along the fourth spatial coordinate are considered. By analyzing consistency conditions for the equations for supersymmetric Killing spinors we derive the Bogomol'nyi equations and obtain their globally regular solutions. The SO(4) symmetric configurations contain the purely magnetic non-Abelian fields together with the purely electric Abelian field and possess two unbroken supersymmetries. The SO(3) configurations have only the non-Abelian fields and preserve four supersymmetries.