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The supersymmetric NUTs and bolts of holography

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arxiv 1212.4618 v3 pith:VSWC77KC submitted 2012-12-19 hep-th

Dario Martelli , Achilleas Passias , James Sparks This is my paper · ORCID
classification hep-th
keywords solutionsspacebiaxiallyboundaryclassesconformalenergyfield
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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.

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Cited by 6 Pith papers

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