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arXiv · hep-th/0610038

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

Goro Ishiki·Shinji Shimasaki·Yastoshi Takayama·Asato Tsuchiya
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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.

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Goro Ishiki, Shinji Shimasaki, Yastoshi Takayama, Asato Tsuchiya. 2007-12-14. Embedding of theories with SU(2|4) symmetry into the plane wave matrix model. https://doi.org/10.1088/1126-6708%2F2006%2F11%2F089

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