The Eleven-Dimensional Uplift of Four-Dimensional Supersymmetric RG Flow
arXiv:0910.3533 · doi:10.1016/j.geomphys.2012.02.007
Abstract
The squashed and stretched 7-dimensional internal metric preserving U(1) x U(1) x U(1)_R symmetry possesses an Einstein-Kahler 2-fold which is a base manifold of 5-dimensional Sasaki-Einstein L^{p, q, r} space. The r(transverse to the domain wall)-dependence of the two 4-dimensional supergravity fields, that play the role of geometric parameters for squashing and stretching, makes the 11-dimensional Einstein-Maxwell equations consistent not only at the two critical points but also along the whole N=2 supersymmetric RG flow connecting them. The Ricci tensor of the solution has common feature with the previous three 11-dimensional solutions. The 4-forms preserve only U(1)_R symmetry for other generic parameters of the metric. We find an exact solution to the 11-dimensional Einstein-Maxwell equations corresponding to the lift of the 4-dimensional supersymmetric RG flow.
16 pp
References in corpus (10)
- 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}
- 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
- 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
- The Gauge Dual of Gauged N=8 Supergravity Theory
- New N=2 Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity