Abstract
Motivated by the recent work of Hofman and Maldacena [1] we construct a classical string solution on the β-deformed AdS 5 × S̃ 5 background. This string solution is identified with a magnon state of the integrable spin chain description of the script N sign = 1 supersymmetric β-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. This string solution 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. © SISSA 2006.