## Abstract

The squashed and stretched 7-dimensional internal metric preserving U(1)×U(1)×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 a 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.

Original language | English |
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Pages (from-to) | 1480-1488 |

Number of pages | 9 |

Journal | Journal of Geometry and Physics |

Volume | 62 |

Issue number | 6 |

DOIs | |

State | Published - Jun 2012 |

## Keywords

- 11-dimensional supergravity
- AdS
- Critical points
- RG flow