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

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

2006-10-03

arxiv.org/abs/hep-th/0610038v4

JHEP0611:089,2006

Physics

High Energy Physics

High Energy Physics - Theory

56 pages, 6 figures, v2:a footnote and references added, section 5.2 improved, typos corrected, v3:typos corrected, v4: some e

Scientific paper

10.1088/1126-6708/2006/11/089

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.

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