New N=2 Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
arXiv:0909.3745 · doi:10.1088/1126-6708/2009/11/022
Abstract
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 Y^{p, q} space found in 2004. The nontrivial r(transverse to the domain wall)-dependence of the AdS_4 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.
20 pp;The typos in (2.12) corrected and to appear in JHEP
References in corpus (11)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- M2-branes on Orbifolds of the Cone over Q^{1,1,1}
- Holographic, N=1 Supersymmetric RG Flows on M2 Branes
- The Squashed, Stretched, and Warped Gets Perturbed
- Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?
- Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
- Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
- Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory