Integrability and Higher Loops in AdS/dCFT Correspondence
arXiv:hep-th/0504209 · doi:10.1016/j.physletb.2005.07.058
Abstract
We further study the correspondence between open semiclassical strings and long defect operators which is discussed in our previous work [hep-th/0410139]. We give an interpretation of the spontaneous symmetry breaking of SO(6)-> SO(3)_H x 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.
v1: 11 pages, 2 figures; v2: minor corrections, references added, published version