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

By Miguel Ángel Gracia Bandrés, A. Lipstein, J. Schwarz. 2008

163 citations recorded by the source corpus.

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 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4d1eadc807ec21e1dfabc1c8be774737cda2536c

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In Nuclear and High Energy Physics

Citations in the corpus

n-ary algebras: a review with applications (2010, background): “The SU(2) × SU(2) gauge symmetry and the original BLG model appears as a particular N = 2 example of the sequence of theories in [37], for which the original N = 6 supersymmetry of twelve real supercharges is enhanced to a N = 8 one with sixteen (see also [267, 290]) because the fundamental represen”
Charges of monopole operators in Chern-Simons Yang-Mills theory (2009, background): “For k > 2 this orbifold preserves only N = 6 supersymmetry, and so does the ABJM theory [10,14,15].”
Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals (2008, methodology): “The superconformal transformations of the N = 6 CS theory have been constructed recently in [14].”
The complete superconformal index for N=6 Chern–Simons theory (2009, background): “See [13, 14, 15, 16] for further studies of this theory.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “2 The supersymmetries of this action have been checked carefully in [8, 9], while its relation to the construction in terms of three-algebras has been described in [10, 11].”