Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
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.
Keywords
Cite
@article{arxiv.hep-th/0610038,
title = {Embedding of theories with SU(2|4) symmetry into the plane wave matrix model},
author = {Goro Ishiki and Shinji Shimasaki and Yastoshi Takayama and Asato Tsuchiya},
journal= {arXiv preprint arXiv:hep-th/0610038},
year = {2009}
}
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