Published September 2008 | Version v1
Journal article

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

  • 1. California Institute of Technology, Pasadena, CA 91125 (United States)

Description

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.

Availability note (English)

Available from http://dx.doi.org/10.1088/1126-6708/2008/09/027

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
9
Journal Issue
2008
Journal Page Range
p. 027
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41111228
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONFORMAL INVARIANCE; GAUGE INVARIANCE; POTENTIALS; QUANTUM FIELD THEORY; SCALAR FIELDS; SU-4 GROUPS; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS; UNITARY SYMMETRY
Descriptors DEC
FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; SU GROUPS; SYMMETRY; SYMMETRY GROUPS