Integrability and Higher Loops in AdS/dCFT Correspondence

Details Integrability and Higher Loops in AdS/dCFT Correspondence Integrability and Higher Loops in AdS/dCFT Correspondence

2005-04-26

arxiv.org/abs/hep-th/0504209v2

Phys.Lett. B624 (2005) 115-124

Physics

High Energy Physics

High Energy Physics - Theory

v1: 11 pages, 2 figures; v2: minor corrections, references added, published version

Scientific paper

10.1016/j.physletb.2005.07.058

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.

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