Three-dimensional N=6 SCFT's and their membrane dynamics

Abstract

We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be extracted from the analysis of the field theory. We revisit the calculations of the moduli space of vacua and the complete characterization of chiral ring operators by analyzing the field theory compactified on a 2-sphere. We show that many of the states dual to these operators can be interpreted as D-brane states in the weak coupling limit. Also, various features of the dual AdS geometry can be obtained by performing a strong coupling expansion around moduli space configurations, even though one is not taking the planar expansion. In particular, we show that at strong coupling the corresponding weak coupling D-brane states of the chiral ring localize on particular submanifolds of the dual geometry that match the M-theory interpretation. We also study the massive spectrum of fields in the moduli space. We use this to investigate the dispersion relation of giant magnons from the field theory point of view. Our analysis predicts the exact functional form of the dispersion relation as a function of the world-sheet momentum, independently of integrability assumptions, but not the exact form with respect to the 't Hooft coupling. We also get the dispersion relation of bound states of giant magnons from first principles, providing evidence for the full integrability of the corresponding spin chain model at strong 't Hooft coupling.

64 pages, 5 figures; v2: added references

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Cited by in corpus (103)

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• A supermatrix model for N=6 super Chern-Simons-matter theory
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
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• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
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• Towards the exact Bremsstrahlung function of ABJM theory
• A Nonperturbative Test of M2-Brane Theory
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• Emergent Threebrane Lattices
• Infrared Stability of N=2 Chern-Simons Matter Theories
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• On the Regularization of Extremal Three-point Functions Involving Giant Gravitons
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• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
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• M2-brane Flows and the Chern-Simons Level
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• A note on multiply wound BPS Wilson loops in ABJM
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• An alternative S-matrix for N=6 Chern-Simons theory ?
• Localization and Duality for ABJM Latitude Wilson Loops
• Monopole operators, moduli spaces and dualities
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• On three-point functions in ABJM and the latitude Wilson loop
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• An exact limit of ABJM
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