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

Bandres, Miguel A. and Lipstein, Arthur E. and Schwarz, John H. (2008) Studies of the ABJM theory in a formulation with manifest SU(4) R-symmetry. Journal of High Energy Physics, 2008 (09). Art. No. 027. ISSN 1126-6708.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Bandres, Miguel A.0000-0002-7145-8567
Lipstein, Arthur E.0000-0002-0213-186X
Schwarz, John H.0000-0001-9861-7559
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.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Secretaría de Educación Pública (SEP)UNSPECIFIED
Subject Keywords:AdS-CFT Correspondence; Conformal Field Models in String Theory; M-Theory
Issue or Number:09
Record Number:CaltechAUTHORS:BANjhep08c
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11579
Deposited By: Archive Administrator
Deposited On:08 Sep 2008 20:40
Last Modified:11 Feb 2020 18:40

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