Goro Ishiki, Shinji Shimasaki, Yastoshi Takayama, Asato Tsuchiya
Published 2006-10-03, updated 2007-12-14Version 4
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.
Comments: 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
Journal: JHEP0611:089,2006
On the existence of the NS5-brane limit of the plane wave matrix model
Holography and entropy bounds in the plane wave matrix model
Monopole harmonics on $\mathbb{CP}^{n-1}$
