A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
arXiv:1001.4917 · doi:10.1016/j.nuclphysb.2010.02.026
Abstract
We show that the planar Chern-Simons (CS) theory on S^3 can be described by its dimensionally reduced model. This description of CS theory can be regarded as a novel large-N reduction for gauge theories on S^3. We find that if one expands the reduced model around a particular background consisting of multiple fuzzy spheres, the reduced model becomes equivalent to CS theory on S^3 in the planar limit. In fact, we show that the free energy and the vacuum expectation value of unknot Wilson loop in CS theory are reproduced by the reduced model in the large-N limit.
39 pages, 8 figures
References in corpus (17)
- A Perturbative Window into Non-Perturbative Physics
- Center-stabilized Yang-Mills theory: confinement and large volume independence
- Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
- Volume independence in large Nc QCD-like gauge theories
- Les Houches lectures on matrix models and topological strings
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- 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
- Chern-Simons matrix models and Stieltjes-Wigert polynomials
- Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
- Fiber Bundles and Matrix Models
- Large N reduction for Chern-Simons theory on S^3
- On relationships among Chern-Simons theory, BF theory and matrix model
- Two-Dimensional Gauge Theory and Matrix Model