Large N reduction on group manifolds

Abstract

We show that the large N reduction holds on group manifolds. Large N field theories defined on group manifolds are equivalent to some corresponding matrix models. For instance, gauge theories on S^3 can be regularized in a gauge invariant and SO(4) invariant manner.

21 pages, 4 figures, typos corrected, a reference added

References in corpus (11)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Non-perturbative volume-reduction of large-N QCD with adjoint fermions
• Fiber Bundles and Matrix Models
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Large N reduction for Chern-Simons theory on S^3
• Four-dimensional N=1 super Yang-Mills from matrix model
• Large N reduction on coset spaces
• Structure and properties of the vacuum of the Twisted Eguchi-Kawai model

Cited by in corpus (19)

• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Toward simulating Superstring/M-theory on a quantum computer
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Emergent gravity from Eguchi-Kawai reduction
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Factorization of the Effective Action in the IIB Matrix Model
• 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
• The origin of space-time as seen from matrix model simulations
• Three-Algebra BFSS Matrix Theory
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Extension of IIB Matrix Model by Three-Algebra
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• Four-algebraic extension of the IIB matrix model
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• Gauge theories on noncommutative $\mathbb{C}{P}^N$ and BPS-like equations
• Equivalence of large-$N$ gauge theories on a group manifold and its coset space