N=4 SYM on R x S^3 and Theories with 16 Supercharges
Abstract
We study N=4 SYM on R x S^3 and theories with 16 supercharges arising as its consistent truncations. These theories include the plane wave matrix model, N=4 SYM on R x S^2 and N=4 SYM on R x S^3/Z_k, and their gravity duals were studied by Lin and Maldacena. We make a harmonic expansion of the original N=4 SYM on R x S^3 and obtain each of the truncated theories by keeping a part of the Kaluza-Klein modes. This enables us to analyze all the theories in a unified way. We explicitly construct some nontrivial vacua of N=4 SYM on R x S^2. We perform 1-loop analysis of the original and truncated theories. In particular, we examine states regarded as the integrable SO(6) spin chain and a time-dependent BPS solution, which is considered to correspond to the AdS giant graviton in the original theory.
Keywords
Cite
@article{arxiv.hep-th/0605163,
title = {N=4 SYM on R x S^3 and Theories with 16 Supercharges},
author = {Goro Ishiki and Yastoshi Takayama and Asato Tsuchiya},
journal= {arXiv preprint arXiv:hep-th/0605163},
year = {2009}
}
Comments
68 pages, 12 figures, v2,v3:typos corrected and comments added. To appear in JHEP