The supersymmetric NUTs and bolts of holography

Dario Martelli*, Achilleas Passias, James Sparks

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

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 languageEnglish
Article numberN/A
Pages (from-to)810-870
Number of pages61
JournalNuclear Physics, Section B
Volume876
Issue number3
DOIs
Publication statusPublished - 21 Nov 2013

Keywords

  • EINSTEIN-METRICS

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