Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry

Details Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry

2008-07-05

arxiv.org/abs/0807.0880v2

JHEP 0809:027,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; v2: references added

Scientific paper

10.1088/1126-6708/2008/09/027

We examine the three-dimensional N = 6 superconformal Chern--Simons theory with U(N) X 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 Poincare 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.

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