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.

Categories: hep-th

Euler Top Dynamics of Nambu-Goto P-Branes