Large N reduction on coset spaces

Abstract

As an extension of our previous work concerning the large N reduction on group manifolds, we study the large N reduction on coset spaces. We show that large N field theories on coset spaces are described by certain corresponding matrix models. We also construct Chern-Simons-like theories on group manifolds and coset spaces, and give their reduced models.

22 pages, typos corrected

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Cited by in corpus (11)

• Large N reduction on group manifolds
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Factorization of the Effective Action in the IIB Matrix Model
• 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
• The origin of space-time as seen from matrix model simulations
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• 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
• Comment on "ADM reduction of IIB on $H^{p,q}$ to dS braneworld"