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) |
---|---|
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