Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background

Abstract

We study a string motion in the Lunin-Maldacena background, that is, the β-deformed AdS_5 \times \tilde{S}^5 background dual to a β-deformation of \mathcal{N} = 4 super Yang-Mills theory. For real βwe 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 λ/J^2 with the total spin J and the string tension \sqrtλ 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 β-deformed Bethe equation as well as the anisotropic Landau-Lifshitz equation.

13 pages, LaTeX, no figures

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• On the anatomy of multi-spin magnon and single spike string solutions
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
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• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Pure Spinor Strings in TsT Deformed Background
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Spiky Strings on I-brane
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