Semiclassical Quantization of the Giant Magnon

Details Semiclassical Quantization of the Giant Magnon Semiclassical Quantization of the Giant Magnon

2007-04-18

arxiv.org/abs/0704.2389v2

JHEP 0706:032,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, JHEP3 style; v2: minor typos fixed and references added

Scientific paper

10.1088/1126-6708/2007/06/032

Solitons in field theory provide a window into regimes not directly accessible by the fundamental perturbative degrees of freedom. Motivated by interest in the worldsheet S-matrix of string theory in AdS_5 x S^5 in the limit of infinite worldsheet volume we consider the semiclassical quantization of a particular soliton of this theory: the Hofman-Maldacena `giant magnon' spinning string. We obtain explicit formulas for the complete spectrum of bosonic and fermionic fluctuations around the giant magnon. As an application of these results we confirm that the one-loop correction to the classical energy vanishes as expected.

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