On Half-BPS States of the ABJM Theory

Abstract

We analyze SU(2) invariant half-BPS states of the 3d \cN=8 or \cN=6 SCFT within the radial quantization of the ABJM theory, the theory proposed to describe N M2-branes in the R^3x C^4/Z_k background. After studying the classical moduli space of these configurations, we explicitly construct a set of gauge invariant operators involving 't Hooft monopole operators corresponding to these states. We show there is a one--to--one correspondence between the two sets carrying R-charge J and that they are labeled by Young tableaux of J boxes with a maximum of N rows. Restricting the full path integral to this half-BPS sector of the theory, we show the latter is described in terms of N fermions in a 2d harmonic potential in the sector of vanishing angular momentum. The same classification, though in the N to infinity limit, arise from the plane-wave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries, providing supportive evidence for the ABJM theory and/or the Matrix model.

24 pages, 3 figures, v2: a reference added

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Cited by in corpus (30)

• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• New supersymmetric Wilson loops in ABJ(M) theories
• Brane Effective Actions, Kappa-Symmetry and Applications
• Infrared Stability of N=2 Chern-Simons Matter Theories
• M-Theory in the Gaugeon Formalism
• Vortex-type Half-BPS Solitons in ABJM Theory
• Aspects of monopole operators in N=6 Chern-Simons theory
• From Schurs to Giants in ABJ(M)
• The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• Exact Large R-charge Correlators in ABJM Theory
• Structure constants of heavy operators in ABJM/ABJ Theory
• The electrostatic view on M-theory LLM geometries
• Thermodynamic Geometry and Hawking Radiation
• Dielectric 5-Branes and Giant Gravitons in ABJM
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• The giant graviton expansion in $Ad{S}_5\times S^5$
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• Laplacians in polar matrix coordinates and radial fermionization in higher dimensions
• Spherical transverse M5-branes from the plane wave matrix model
• Superloop Space
• A giant graviton genealogy
• On thermodynamics of N=6 superconformal Chern-Simons theory
• M2-M5 giant graviton expansions
• Aspects of ABJM orbifolds
• S^2 x S^3 geometries in ABJM and giant gravitons
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• 1/2-BPS D-branes from covariant open superstring in AdS${}_4\times {\mathbf{CP}}^3$ background
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Monopole operators and symmetry enhancement in ABJM theory revisited