N=2 Supersymmetric AdS(4) Solutions of M-theory

Maxime Gabella*, Dario Martelli, Achilleas Passias, James Sparks

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)

Abstract

We analyse the most general N=2 supersymmetric solutions of D = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold Y 7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y 7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes. We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ODE. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4 × S 7 solution with non-trivial four-form flux.
Original languageEnglish
Pages (from-to)487-525
Number of pages39
JournalCommunications in Mathematical Physics
Volume325
Issue number2
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • SASAKI-EINSTEIN METRICS
  • VOLUME MINIMIZATION
  • SUPERGRAVITY

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