N=4 SYM on R x S^3 and Theories with 16 Supercharges

Details N=4 SYM on R x S^3 and Theories with 16 Supercharges N=4 SYM on R x S^3 and Theories with 16 Supercharges

2006-05-17

arxiv.org/abs/hep-th/0605163v3

JHEP0610:007,2006

Physics

High Energy Physics

High Energy Physics - Theory

68 pages, 12 figures, v2,v3:typos corrected and comments added. To appear in JHEP

Scientific paper

10.1088/1126-6708/2006/10/007

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.

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