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Published September 4, 2008 | Published
Journal Article Open

Studies of the ABJM theory in a formulation with manifest SU(4) R-symmetry


We examine the three-dimensional Script N = 6 superconformal Chern-Simons theory with U(N) × U(N) gauge symmetry, which was recently constructed by Aharony, Bergman, Jafferis, and Maldacena (ABJM). Using a formulation with manifest SU(4) R-symmetry and no auxiliary fields, we verify in complete detail both the Poincaré supersymmetry and the conformal supersymmetry of the action. Together, these imply the complete OSp(6|4) superconformal symmetry of the theory. The potential, which is sixth order in scalar fields, is recast as a sum of squares.

Additional Information

© 2008 SISSA. Received 29 July 2008, accepted for publication 27 August 2008. Published 4 September 2008. This work was supported in part by the U.S. Dept. of Energy under Grant No. DE-FG03-92-ER40701. MAB acknowledges support from the Secretaría de Educación Pública de México. JHS wishes to acknowledge the hospitality of the Aspen Center for Physics. He also acknowledges helpful discussions with Igor Klebanov.

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