Fermions and D = 11 supergravity on squashed Sasaki-Einstein manifolds

Ibrahima Bah, Alberto Faraggi, Juan I. Jottar, Robert G. Leigh, Leopoldo A.Pando Zayas

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of D = 11 supergravity compactified on squashed sevendimensional Sasaki-Einstein manifolds. Such reductions are of interest, for example, in that they have (2 + 1)-dimensional holographic duals, and the fermionic content and their interactions with charged scalars are an important aspect of their applications. We derive the lower-dimensional equations of motion for the fermions and exhibit their couplings to the various bosonic modes present in the truncations under consideration, which most notably include charged scalar and form fields. We demonstrate that our results are consistent with the expected supersymmetric structure of the lower dimensional theory, and apply them to a specific example which is relevant to the study of (2 + 1)-dimensional holographic superconductors.

Original languageEnglish (US)
Article number68
JournalJournal of High Energy Physics
Volume2011
Issue number2
DOIs
StatePublished - 2011

Keywords

  • AdS-CFT correspondence
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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