Takayuki Enari, Akitsugu Miwa
We study the Holographic description for correlation function of 1/4 BPS Wilson loop operator and 1/2 BPS local operator carrying a large R-charge of order \sqrt \lambda. We construct a rotating string solution which is extended in S5 as well as in AdS5. The string solution preserves the 1/8 of the supersymmetry as expected from the gauge theory computation. By evaluating the string action including boundary terms we show that the string solution reproduces correlation function in large J \sim O(\sqrt \lambda) limit. In addition, we found additional solution for which the string coordinates become complex. In the case J=0, this second solution reduces to the previously known unstable string configuration. The gauge theory side also contains a saddle point which is not on the steepest descent path. We show that the saddle point value also matches for this case as well.
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http://arxiv.org/abs/1208.0821
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