Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-03
JHEP0612:043,2006
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTeX, no figures
Scientific paper
10.1088/1126-6708/2006/12/043
From the Polyakov string action using a conformal gauge we construct a three-spin giant magnon solution describing a long open string in AdS_5 \times S^5 which rotates both in two angular directions of S^5 and in one angular direction of AdS_5. Through the Virasoro constraints the string motion in AdS_5 takes an effect from the string configuration in S^5. The dispersion relation of the soliton solution is obtained as a superposition of two bound states of magnons. We show that there is a correspondence between a special giant magnon in AdS_2 and the sinh-Gordon soliton.
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