Bulg. J. Phys. vol.35 no.4 (2008), pp. 274-285

Semiclassical Strings in Lunin-Maldacena Background

N.P. Bobev1, H. Dimov2, R.C. Rashkov2,3
1Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA
2Department of Physics, University of Sofia, 1164 Sofia, Bulgaria
3Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria
Abstract. The aim of this paper is to investigate semiclassical rotating string configurations in the recently found Lunin-Maldacena background. This background is conjectured to be dual to the Leigh-Strassler β-deformation of N = 4 SYM and therefore a good laboratory for tests of the AdS/CFT correspondence beyond the well explored AdS5 x S5> case. We consider different multispin configurations of rotating strings by allowing the strings to move in both the AdS5 and the deformed S5 part of the Lunin-Maldacena background. For all of these configurations we compute the string energy in terms of the angular momenta and the string winding numbers and thus provide the possibility of reproducing our results from a computation of the anomalous dimension of the corresponding dilatation operator. This can be achieved by means of the Bethe ansatz techniques for the relevant sectors of the corresponding Yang-Mills theory. We also compare our results with those for multispin rotating strings on AdS5 x S5.

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