Localization and Large N reduction on S^3 for the Planar and M-theory limit
arXiv:1203.1016 · doi:10.1016/j.nuclphysb.2012.07.022
Abstract
We show a large N reduction on S^3 in a BPS sector for a broad class of theories : N>=2 supersymmetric Chern-Simons theory with any number of adjoint and bi-fundamental chiral multiplets.We show that a localization method can be applied to the reduced model and the path integral can be written by a multi-contour integral. By taking a particular localization configuration, we also show that the large N equivalence between the original theory on S^3 and the reduced model holds for the free energy and the expectation value of BPS Wilson loops. It turns out that the large N reduction on S^3 holds also for the M-theory limit.
v1:39 pages, v2:40 pages, references added, typo fixed
References in corpus (25)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Fractional M2-branes
- Notes on SUSY Gauge Theories on Three-Sphere
- ABJM theory as a Fermi gas
- Volume independence in large Nc QCD-like gauge theories
- Summing Up All Genus Free Energy of ABJM Matrix Model
- N=2 supersymmetric theories on squashed three-sphere
- On the moduli space of elliptic Maxwell-Chern-Simons theories
- Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
- Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
- Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
- Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
- N=4 Super Yang-Mills from the Plane Wave Matrix Model
- Fiber Bundles and Matrix Models
- Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
- Large N reduction for Chern-Simons theory on S^3
- On relationships among Chern-Simons theory, BF theory and matrix model
- A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
- Large N reduction on coset spaces
- Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
- Perturbative Vacua from IIB Matrix Model
- On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
- Supersymmetry non-renormalization theorem from a computer and the AdS/CFT correspondence
- Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
- Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in 4d N=4 super-Yang-Mills theory
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- Non-Abelian Localization for Supersymmetric Yang-Mills-Chern-Simons Theories on Seifert Manifold
- How to resum perturbative series in 3d N=2 Chern-Simons matter theories
- Exact results for perturbative partition functions of theories with SU(2|4) symmetry
- Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
- Toward simulating Superstring/M-theory on a quantum computer
- Emergent gravity from Eguchi-Kawai reduction
- Localization on round sphere revisited
- A new large-N limit and the planar equivalence outside the planar limit
- Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
- Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory