Changhyun Ahn JHEP11(2009)022 doi:10.1088/1126-6708/2009/11/022
New 
= 2 supersymmetric membrane flow in eleven-dimensional supergravity
Changhyun Ahn
Show affiliations = 2 supersymmetric RG flow solution in 4-dimensional = 8 gauged supergravity. The squashed and stretched 7-dimensional internal metric preserving SU(2) × U(1) × 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) × U(1) × U(1)R-invariant RG flow. The particular limits of this solution give rise to the previous solutions with SU(3) × U(1)R or SU(2) × SU(2) × U(1)R.
- Keywords
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E-print Number: 0909.3745
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- PACS
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11.10.Hi Renormalization group evolution of parameters
11.10.Kk Field theories in dimensions other than four
04.62.+v Quantum fields in curved spacetime
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- Subjects
- Dates
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Issue 11 (November 2009)
Received 22 September 2009, accepted for publication 21 October 2009
Published 5 November 2009
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New = 2 supersymmetric membrane flow in eleven-dimensional supergravity
Changhyun Ahn JHEP11(2009)022
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