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Orbiting membranes in M-theory on \(AdS_{7} \times S^{4}\) background. (English) Zbl 1226.81152

Summary: We study classical solutions describing rotating and boosted membranes on \(AdS_{7} \times S^{4}\) 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 \(AdS_{4} \times S^{7}\) background have briefly been studied as well.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory

References:

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