Precision test of AdS/CFT in Lunin-Maldacena background

We obtain the solutions and explicitly calculate the energy for a class oftwo-spin semiclassical string states in the Lunin-Maldacena background. Theseconfigurations are \beta-deformed versions of the folded string solutions inAdS_{5}\times S^{5} background. They correspond to certain single traceoperators in the \mathcal{N}=1 superconformal \beta deformation of\mathcal{N}=4 Yang-Mills. We calculate the one loop anomalous dimension for thedual single trace operator from the associated twisted spin chain with ageneral two-cut distribution of Bethe roots. Our results show a striking matchbetween the two calculations. We demonstrate the natural identification ofparameters on the two sides of the analysis, and explain the significance ofthe Virasoro constraint associated with the winding motion of semiclassicalstrings from the perspective of the spin chain solution.Comment: Latex 1+28 pages, No figure. Discussion on the field theory operators modified, references added, minor typos correcte