Research output: Contribution to journal › Article

Daniel Farquet, Jakob Lorenzen, Dario Martelli, James Sparks

Original language | English |
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Journal | Journal of High Energy Physics |

Volume | 2016 |

Issue number | 8 |

DOIs | |

Accepted/In press | 4 Aug 2016 |

Published | Aug 2016 |

**Gravity duals of supersymmetric_FARQUET_Accepted 4Aug2016_GOLD VoR**Gravity_duals_of_supersymmetric_FARQUET_Accepted_4Aug2016_GOLD_VoR.pdf, 969 KB, application/pdf

Uploaded date:01 Sep 2016

Version:Final published version

Licence:CC BY

- http://link.springer.com/10.1007/JHEP08(2016)080
Final published version

We study gravity duals to a broad class of N = 2 supersymmetric gauge theories defined on a general class of three-manifold geometries. The gravity backgrounds are based on Euclidean self-dual solutions to four-dimensional gauged supergravity. As well as constructing new examples, we prove in general that for solutions defined on the four-ball the gravitational free energy depends only on the supersymmetric Killing vector, finding a simple closed formula when the solution has U(1) × U(1) symmetry. Our result agrees with the large N limit of the free energy of the dual gauge theory, computed using localization. This constitutes an exact check of the gauge/gravity correspondence for a very broad class of gauge theories with a large N limit, defined on a general class of background three-manifold geometries.

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