2009/09/30 by Changhyun Ahn
Mathematics 路 Physics and Astronomy 路 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry and complex manifolds #hep-th
paper 路 pdf 路 doi:10.1088/1126-6708/2009/11/022
published as JHEP 0911:022,2009 路 20 pp;The typos in (2.12) corrected and to appear in JHEP
arxiv created 2009/10/21 路 openalex publication_date 2009/11/05 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/08/04
We construct the 11-dimensional lift of the known N=2 supersymmetric RG flow solution in 4-dimensional N=8 gauged supergravity. The squashed and stretched 7-dimensional internal metric preserving SU(2) x U(1) x U(1)R symmetry contains an Einstein-Kahler 2-fold which is a base manifold of 5-dimensional Sasaki-Einstein Yp, q space found in 2004. The nontrivial r(transverse to the domain wall)-dependence of the AdS4 supergravity fields makes the Einstein-Maxwell equations consistent not only at the critical points but also along the supersymmetric whole RG flow connecting two critical points. With an appropriate 3-form gauge field, we find an exact solution to the 11-dimensional Einstein-Maxwell equations corresponding to the above lift of the SU(2) x U(1) x U(1)R-invariant RG flow. The particular limits of this solution give rise to the previous solutions with SU(3) x U(1)R or SU(2) x SU(2) x U(1)R.