Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-09-27
JHEP0511:006,2005
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX, no figures
Scientific paper
10.1088/1126-6708/2005/11/006
We study a string motion in the Lunin-Maldacena background, that is, the \beta-deformed AdS_5 \times \tilde{S}^5 background dual to a \beta-deformation of \mathcal{N} = 4 super Yang-Mills theory. For real \beta we construct a rotating and wound string solution which has two unequal spins in \tilde{S}^5. The string energy is expressed in terms of the spins, the winding numbers and the deformation parameter. In the expansion of \lambda/J^2 with the total spin J and the string tension \sqrt{\lambda} we present ``one-loop" and ``two-loop" energy corrections. The ``one-loop" one agrees with the one-loop anomalous dimension of the corresponding gauge-theory scalar operators obtained in hep-th/0503192 from the \beta-deformed Bethe equation as well as the anisotropic Landau-Lifshitz equation.
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