## Abstract

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 language | English (US) |
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Article number | 072 |

Journal | Journal of High Energy Physics |

Volume | 2008 |

Issue number | 9 |

DOIs | |

State | Published - Sep 1 2008 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Keywords

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