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

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.

24 pages; v2: references added

References in corpus (9)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• On M5-branes in N=6 Membrane Action
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories

Cited by in corpus (19)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Topological branes, p-algebras and generalized Nahm equations
• On Half-BPS States of the ABJM Theory
• Vortex-type Half-BPS Solitons in ABJM Theory
• Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
• A note on the reduction of the AdS4 x CP3 string sigma model
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• N=6 Membrane Worldvolume Superalgebra
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
• Near Flat Space limit of strings on AdS_4 x CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory