Embedding of theories with SU(2|4) symmetry into the plane wave matrix model

Abstract

We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show this directly on the gauge theory side. We clearly reveal relationships among the spherical harmonics on S^3, the monopole harmonics and the harmonics on fuzzy spheres. We extend the compactification (the T-duality) in matrix models a la Taylor to that on spheres.

56 pages, 6 figures, v2:a footnote and references added, section 5.2 improved, typos corrected, v3:typos corrected, v4: some equations are corrected, eq.(G.2) is added, conclusion is unchanged

References in corpus (3)

• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Little String Theory from a Double-Scaled Matrix Model
• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane

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• Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
• Dynamical tachyons on fuzzy spheres
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• Two-Dimensional Gauge Theory and Matrix Model
• Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
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• Coarse-Graining the Lin-Maldacena Geometries
• Effective Actions of IIB Matrix Model on S^3
• Closed String Tachyons on AdS Orbifolds and Dual Yang-Mills Instantons