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Integrability and Higher Loops in AdS/dCFT Correspondence

Yoshiaki Susaki·Yastoshi Takayama·Kentaroh Yoshida
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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.

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Yoshiaki Susaki, Yastoshi Takayama, Kentaroh Yoshida. 2005-11-08. Integrability and Higher Loops in AdS/dCFT Correspondence. https://doi.org/10.1016/j.physletb.2005.07.058

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