On Large N Solution of ABJM Theory
arXiv:0912.1084 · doi:10.1016/j.nuclphysb.2010.03.011
Abstract
We investigate the large N limit of the expectation value W(λ) of a BPS Wilson loop in ABJM theory, using an integral expression of the partition function obtained recently by Kapustin et.al. Certain saddle-point equations provide the correct perturbative expansion of W(λ). The large λbehavior of W(λ) is also obtained from the saddle-point equations. The result is compatible with AdS/CFT correspondence.
27 pages, 4 figures, (v2) references added, the coefficient of order lambda^11 term in Eq.(5.18) corrected, (v3) the estimate of the large lambda behavior corrected, (v4) published version, (v5) comments on revisions added, references added
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- Exact Results in ABJM Theory from Topological Strings
- A supermatrix model for N=6 super Chern-Simons-matter theory
- The large N limit of quiver matrix models and Sasaki-Einstein manifolds
- 1/2-BPS Wilson Loops and Vortices in ABJM Model
- Direct derivation of "mirror" ABJ partition function
- Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
- Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
- Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
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- Refined Checks and Exact Dualities in Three Dimensions
- A Systematic Study on Matrix Models for Chern-Simons-matter Theories
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- Wilson loops and the geometry of matrix models in AdS_4/CFT_3
- Mass Deformed ABJM Theory on Three Sphere in Large N limit
- On Large N Solution of N=3 Chern-Simons-adjoint Theories
- ABJM Baryon Stability and Myers effect
- SU(N) q-Toda equations from mass deformed ABJM theory
- Cubic constraints for the resolvents of the ABJM matrix model and its cousins
- Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit
- Strong Coupling Limit of A Family of Chern-Simons-matter Theories
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- Charged Particle-like Branes in ABJM: A Summary