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

Bandres, Miguel A.; Lipstein, Arthur E.; Schwarz, John H.

Abstract

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.

Citation

Bandres, M. A., Lipstein, A. E., & Schwarz, J. H. (2008). Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry. Journal of High Energy Physics, 2008(09), Article 027. https://doi.org/10.1088/1126-6708/2008/09/027

• Journal Article Type: Article
• Publication Date: 2008
• Deposit Date: Feb 22, 2016
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2008
• Issue: 09
• Article Number: 027
• DOI: https://doi.org/10.1088/1126-6708/2008/09/027
• Public URL: https://durham-repository.worktribe.com/output/1391009
• Publisher URL: http://iopscience.iop.org/article/10.1088/1126-6708/2008/09/027/meta