Euler Top Dynamics of Nambu-Goto P-Branes

Abstract

We propose a method to obtain new exact solutions of spinning p-branes in flat space-times for any p, which manifest themselves as higher dimensional Euler Tops and minimize their energy functional. We provide concrete examples for the case of spherical topology S^{2}, S^{3} and rotational symmetry \prod_{i}SO(q_{i}). In the case of toroidal topology T^{2}, T^{3} the rotational symmetry is \prod SU(q_{i}) and m target dimensions are compactified on the torus T^{m} . By double dimensional reduction the Light Cone Hamiltonians of T^{2}, T^{3} reduce to those of closed string S^{1} and T^{2} membranes respectively. The solutions are interpreted as non-perturbative spinning soliton states of type IIA-IIB superstrings.

33 pages, LATEX; more typos corrected; some equation numbering corrections

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Cited by in corpus (13)

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• Three-algebra for supermembrane and two-algebra for superstring
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Stringy Membranes in AdS/CFT
• Laplace-Beltrami operator and exact solutions for branes
• Strings and D-branes in a supersymmetric magnetic flux background
• On the Structure Constants of Volume Preserving Diffeomorphism Algebra
• Branes as solutions of gauge theories in gravitational field
• On brane symmetries
• M-theory as a dynamical system generator
• Turbulent aspects of BMN membrane dynamics