Orbiting Membranes in M-theory on AdS_7 x S^4 Background

Abstract

We study classical solutions describing rotating and boosted membranes on AdS_7 x S^4 background in M-theory. We find the dependence of the energy on the spin and R-charge of these solutions. In the flat space limit we get E ~ S^{2/3}, while for AdS at leading order E-S grows as S^{1/3}. The membranes on AdS_4 x S^7 background have briefly been studied as well.

13 pages, latex, v2: a note and refs. added, some typos corrected

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• Ground State of Supermembrane on PP-wave
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• Semiclassical quantization of Rotating Strings in Pilch-Warner geometry
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• Magnon-Like Dispersion Relation from M-Theory
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• Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits
• Stringy Membranes in AdS/CFT
• Rotating Membranes in AdS_4xM^{1,1,1}
• Classical worldvolumes as generalised geodesics
• Rotating strings and D2-branes in type IIA reduction of M-theory on G2 manifold and their semiclassical limits
• Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}