Superconformal Chern-Simons theories and AdS 4/CFT 3 correspondence

Marcus Benna, Igor Klebanov, Thomas Klose, Mikael Smedbäck

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312 Scopus citations


We discuss the N = 2 superspace formulation of the N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the N = 6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N) × U(N) Chern-Simons theory. In particular, we prove the full SU(4) R-symmetry of the ABJM theory. We then consider orbifold projections of this theory that give non-chiral and chiral (U(N) × U(N)) n superconformal quiver gauge theories. We argue that these theories are dual to certain AdS 4 × S 7/( n × ) backgrounds of M-theory. We also study a SU(3) invariant mass term in the superpotential that makes the = 8 theory flow to a N = 2 superconformal gauge theory with a sextic superpotential. We conjecture that this gauge theory is dual to the U(1) R × SU(3) invariant extremum of the N = 8 gauged supergravity, which was discovered by N. Warner 25 years ago and whose uplifting to 11 dimensions was found more recently.

Original languageEnglish (US)
Article number072
JournalJournal of High Energy Physics
Issue number9
StatePublished - Sep 1 2008

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT correspondence
  • Chern-Simons theories
  • M-theory


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