Embedding of theories with SU(24) symmetry into the plane wave matrix model
Abstract
We study theories with SU(24) symmetry, which include the plane wave matrix model, 2+1 SYM on R × S^{2} and Script N = 4 SYM on R × S^{3}/Z_{k}. All these theories possess many vacua. From LinMaldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on R × S^{2} and Script N = 4 SYM on R × S^{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 Tduality) in matrix models a la Taylor to that on spheres.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2006
 DOI:
 10.1088/11266708/2006/11/089
 arXiv:
 arXiv:hepth/0610038
 Bibcode:
 2006JHEP...11..089I
 Keywords:

 High Energy Physics  Theory
 EPrint:
 56 pages, 6 figures, v2:a footnote and references added, section 5.2 improved, typos corrected, v3:typos corrected