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Integrability and higher loops in AdS/dCFT correspondence

2005; Elsevier BV; Volume: 624; Issue: 1-2 Linguagem: Inglês

10.1016/j.physletb.2005.07.058

1873-2445

Yoshiaki Susaki, Yastoshi Takayama, Kentaroh Yoshida,

Noncommutative and Quantum Gravity Theories

We further study the correspondence between open semiclassical strings and long defect operators which is discussed in our previous work [Y. Susaki, Y. Takayama, K. Yoshida, hep-th/0410139]. We give an interpretation of the spontaneous symmetry breaking of SO(6)→SO(3)H×SO(3)V from the viewpoint of the Riemann surface by following the argument of Minahan. Then we use the concrete form of the resolvent for a single cut solution and compute the anomalous dimension of operators dual to an open pulsating string at three-loop level. In the string side we obtain the energy of the open pulsating string solution by semiclassical analysis. Both results agree at two-loop level but we find a three-loop discrepancy.