## Abstract

We show that a given conformal boundary can have a rich and intricate space of supersymmetric supergravity solutions filling it, focusing on the case where this conformal boundary is a biaxially squashed Lens space. Generically we find that the biaxially squashed Lens space S-3/Z(p), admits Taub-NUT-AdS fillings, with topology R-4/Z(p), as well as smooth Taub-Bolt-AdS fillings with non-trivial topology. We show that the Taub-NUT-AdS solutions always lift to solutions of M-theory, and correspondingly that the gravitational free energy then agrees with the large N limit of the dual field theory free energy, obtained from the localized partition function of a class of N = 2 Chern-Simons-matter theories. However, the solutions of Taub-Bolt-AdS type only lift to M-theory for appropriate classes of internal manifold, meaning that these solutions exist only for corresponding classes of three-dimensional N = 2 field theories.

Original language | English |
---|---|

Article number | N/A |

Pages (from-to) | 810-870 |

Number of pages | 61 |

Journal | Nuclear Physics, Section B |

Volume | 876 |

Issue number | 3 |

DOIs | |

Publication status | Published - 21 Nov 2013 |

## Keywords

- EINSTEIN-METRICS