Neumann-Rosochatius integrable system for strings on AdS 4 × ℂPdbl; 3

Abstract

We use the reduction of the string dynamics on AdS 4 × ℂPdbl; 3 to the Neumann-Rosochatius integrable system. All constraints can be expressed simply in terms of a few parameters. We analyze the giant magnon and single spike solutions on R t × ℂPdbl; 3 with two angular momenta in detail and find the energy-charge relations. The finite-size effects of the giant magnon and single spike solutions are analyzed. © 2008 SISSA.