Superconformal Chern-Simons theories and AdS4/CFT3 correspondence

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Published 16 September 2008 • Published under licence by IOP Publishing Ltd
, , Citation Marcus Benna et al JHEP09(2008)072 DOI 10.1088/1126-6708/2008/09/072

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Author affiliations

1 Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, U.S.A.

2 Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, U.S.A.

3 Department of Physics and Astronomy, Division of Theoretical Physics, Uppsala University, Box 803, SE-751 08 Uppsala, Sweden

Dates

  1. Received 25 July 2008
  2. Accepted 25 August 2008
  3. Published

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1126-6708/2008/09/072

Abstract

We discuss the Script N = 2 superspace formulation of the Script N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the Script 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 AdS4 × S7/(Bbb Zn × Bbb Ztilde k) backgrounds of M-theory. We also study a SU(3) invariant mass term in the superpotential that makes the Script N = 8 theory flow to a Script 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 Script N = 8 gauged supergravity, which was discovered by N. Warner 25 years ago and whose uplifting to 11 dimensions was found more recently.

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10.1088/1126-6708/2008/09/072