Multispin Giant Magnons

Details Multispin Giant Magnons Multispin Giant Magnons

2006-07-04

arxiv.org/abs/hep-th/0607018v3

Phys.Rev.D74:046011,2006

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, typos corrected, more comments included

Scientific paper

10.1103/PhysRevD.74.046011

We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate new magnon excitations of a spin chain which are dual to a string on $R\times S^5$ with two non-vanishing angular momenta. Alowing string dynamics along the third angle in the five sphere, we find a dispersion relation that reproduces the Hofman and Maldacena and the one found by Dorey for the two spin case. In the second part of the paper we generalize the two "spin" giant magnon to the case of $\b$-deformed $\axs$ background. We find agreement between the dispersion relation of the rotating string and the proposed dispersion relation of the magnon bound state on the spin chain.

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