On the multi-spin magnon and spike solutions from membranes

Abstract

Recently important classes of solitonic string solutions were obtained - giant magnons and single spikes. In previous study we showed the existence of giant magnon-like membrane solutions and studied their properties. In this paper we investigate classical rotating membranes representing analog of a specific class of string spiky solutions. Using the reduction to the Neumann-Rosochatius integrable system we find analog of the string single spike solutions. In contrast to the magnon-like solutions, this case is characterized with finite difference of energy and ``winding number'' and finite spins as well.

LaTeX, 14 pages, no figures; v2: references added; v3: to appear in Nucl. Phys. B

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Cited by in corpus (13)

• Single spike solutions for strings on S2 and S3
• Scattering of single spikes
• Giant Magnon on Deformed AdS(3)xS(3)
• Finite-size effects of Membranes on AdS_4 x S_7
• On the anatomy of multi-spin magnon and single spike string solutions
• Giant Magnons on CP^3 by Dressing Method
• On the pulsating strings in AdS_5 x T^{1,1}
• On the pulsating strings in AdS_4 x CP3
• M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
• Rotating Membranes in AdS_4xM^{1,1,1}
• Probing Non-Toric Geometry with Rotating Membranes
• Spinning solutions for the bosonic M2-brane with $C_{\pm }$ fluxes
• P-Branes Dynamics, AdS/CFT and Correlation Functions