Large N reduction for Chern-Simons theory on S^3

Abstract

We study a matrix model which is obtained by dimensional reduction of Chern-Simon theory on S^3 to zero dimension. We find that expanded around a particular background consisting of multiple fuzzy spheres, it reproduces the original theory on S^3 in the planar limit. This is viewed as a new type of the large N reduction generalized to curved space.

4 pages, 2 figures, references added, typos corrected

References in corpus (26)

• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• A Large-N Reduced Model as Superstring
• Matrix String Theory
• Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
• Matrix Perturbation Theory For M-theory On a PP-Wave
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Matrix Model as a Mirror of Chern-Simons Theory
• Chern-Simons Theory and Topological Strings
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Topologically nontrivial field configurations in noncommutative geometry
• Soft matrix models and Chern-Simons partition functions
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Describing Curved Spaces by Matrices
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Chern-Simons Theory on S^1-Bundles: Abelianisation and q-deformed Yang-Mills Theory
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Classical Solutions for Two Dimensional QCD on the Sphere
• Fiber Bundles and Matrix Models
• N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• On relationships among Chern-Simons theory, BF theory and matrix model
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Two-Dimensional Gauge Theory and Matrix Model

Cited by in corpus (16)

• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Large N reduction on group manifolds
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• 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
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• Three-Algebra BFSS Matrix Theory
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• Extension of IIB Matrix Model by Three-Algebra
• Four-algebraic extension of the IIB matrix model
• A new large-N limit and the planar equivalence outside the planar limit
• Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory