Magnons, Classical Strings and beta-Deformations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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v2: 15 pages. Improved and extended version, new section added with more details on the interpretation of our solution

Scientific paper

10.1088/1126-6708/2006/11/093

Motivated by the recent work of Hofman and Maldacena we construct a classical string solution on the beta-deformed AdS_5 \times \tilde{S}^5 background. This string solution is identified with a magnon state of the integrable spin chain description of the N=1 supersymmetric beta-deformed gauge theory. The string solution carries two angular momenta, an infinite J_1 and a finite J_2 which classically can take arbitrary values. It corresponds to the magnon of charge J_2 propagating on an infinite spin chain. We derive an exact dispersion relation for this magnon from string theory.

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