Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-16
JHEP 0603:051,2006
Physics
High Energy Physics
High Energy Physics - Theory
Latex 1+28 pages, No figure. Discussion on the field theory operators modified, references added, minor typos corrected
Scientific paper
10.1088/1126-6708/2006/03/051
We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are \beta-deformed versions of the folded string solutions in AdS_{5}\times S^{5} background. They correspond to certain single trace operators in the \mathcal{N}=1 superconformal \beta deformation of \mathcal{N}=4 Yang-Mills. We calculate the one loop anomalous dimension for the dual single trace operator from the associated twisted spin chain with a general two-cut distribution of Bethe roots. Our results show a striking match between the two calculations. We demonstrate the natural identification of parameters on the two sides of the analysis, and explain the significance of the Virasoro constraint associated with the winding motion of semiclassical strings from the perspective of the spin chain solution.
Chen Heng-Yu
Kumar Sreenivasa P.
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