Magnon-Like Dispersion Relation from M-Theory

Abstract

We investigate classical rotating membranes in two different backgrounds. First, we obtain membrane solution in $Ad{S}_4\times S^7$ background, analogous to the solution obtained by Hofman and Maldacena in the case of string theory. We find a magnon type dispersion relation similar to that of Hofman and Maldacena and to the one found by Dorey for the two spin case. In the appendix of the paper, we consider membrane solutions in $Ad{S}_7\times S^4$, which give new relations between the conserved charges.

16 pages, typos corrected; V3: New section and comments added, to appear in Nucl. Phys. B

References in corpus (6)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• Spinning strings and AdS/CFT duality
• Infinite spin limit of semiclassical string states
• Membrane solutions in M-theory
• M2-brane Solutions in AdS_7xS^4

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• Giant Magnons and Spiky Strings on S^3 with B-field
• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• 2D Heisenberg model from rotating membrane