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arXiv · 1010.5465

Close to the Giant Magnons

Plamen Bozhilov
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Abstract

We consider the most general string configurations on the R_t x S^3 subspace of AdS_5 xS^5, described by the Neumann-Rosochatius integrable system. Under some restrictions on the parameters of the solution and in an appropriate limit, they correspond to small deviation from the known finite-size giant magnon solutions with one and two angular momenta. Analyzing the finite-size effect on the dispersion relation, we find that the leading correction is modified in a way similar to the gamma-deformed case R_t x S^3_gamma. The subleading correction for a string with one angular momentum is also found. It depends on the same parameter, which describes the generalization of the leading correction.

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Plamen Bozhilov. 2010-10-26. Close to the Giant Magnons. https://arxiv.org/abs/1010.5465

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