Embedding of theories with<b>SU(2|4)</b>symmetry into the plane wave matrix model
書誌事項
- 公開日
- 2006-11-30
- DOI
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- 10.1088/1126-6708/2006/11/089
- 10.48550/arxiv.hep-th/0610038
- 公開者
- Springer Science and Business Media LLC
説明
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
収録刊行物
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- Journal of High Energy Physics
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Journal of High Energy Physics 2006 (11), 089-089, 2006-11-30
Springer Science and Business Media LLC
