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.

arXiv comment24 pages; v2: references added

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Cited by in corpus (109)

• The complete superconformal index for N=6 Chern-Simons theory
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• Scattering Amplitudes
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
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• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
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• ABJM amplitudes and the positive orthogonal grassmannian
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Vortex Loop Operators, M2-branes and Holography
• Superconformal Chern-Simons Theories and the Squashed Seven Sphere
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• M2-branes and AdS/CFT
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory
• M-Theory on Deformed Superspace
• Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories
• A Nonperturbative Test of M2-Brane Theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• The Squashed, Stretched, and Warped Gets Perturbed
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
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• Adding Flavor to AdS4/CFT3
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• On Half-BPS States of the ABJM Theory
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• Deformation of the ABJM Theory
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• Two-loop effective potentials in general N=2, d=3 chiral superfield model
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• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• A note on the reduction of the AdS4 x CP3 string sigma model
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• String theory duals of Wilson loops from Higgsing
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• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Chern-Simons Theory in SIM(1) Superspace
• N=6 Membrane Worldvolume Superalgebra
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• M2-branes on a resolved $C_4/Z_4$
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• Wilson-loop One-point Functions in ABJM Theory
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
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• Correlators of Giant Gravitons from dual ABJ(M) Theory
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• Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
• Near Flat Space limit of strings on AdS_4 x CP^3
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• Probing AdS4/CFT3 proposals beyond chiral rings
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• Self-consistency of Conformally Coupled ABJM Theory at the Quantum Level
• Higher Derivative Terms in Three Dimensional Supersymmetric Theories
• Renormalization group flows in gauge-gravity duality
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime
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• A note about fermionic equations of AdS_4 x CP^3 superstring
• On the Spectral properties of Multi-branes, M2 and M5 branes
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