Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-20
JHEP 0808:001,2008
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, Latex, references added; the violation of the BMN scaling is clarified in section 4
Scientific paper
10.1088/1126-6708/2008/08/001
Recently, Aharony, Bergman, Jafferis and Maldacena proposed that the N=6 Chern-Simons gauge theories are holographically dual to the M-theory backgrounds with multiple M2-branes on orbifolds C^4/Z_k. When k is large, they have the type IIA string description. In this paper we analyze the Penrose limit of this IIA background and express the string spectrum as the conformal dimensions of operators in the gauge theories. For BPS operators, we can confirm the agreements between the IIA string on plane waves and the gauge theories. We point out that there exist BMN-like operators in the gauge theories, though their holographic interpretation does not seem to be simple. Also we analyze the weak coupling limit of this theory and show that the Hagedorn/deconfinement transition occurs as expected.
Nishioka Tatsuma
Takayanagi Tadashi
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