On broken zero modes of a string world sheet, and a correlation function of a 1/4 BPS Wilson loop and a 1/2 BPS local operator

Abstract

We reconsider a gravity dual of a 1/4 BPS Wilson loop. In the case of an expectation value of the Wilson loop, it is known that broken zero modes of a string world sheet in the gravity side play important roles in the limit $\lambda \to \infty$ with keeping the combination $\lambda {\cos }^2{\theta }_0$ finite. Here, $\lambda$ is the 't Hooft coupling constant and ${\theta }_0$ is a parameter of the Wilson loop. In this paper, we reconsider a gravity dual of a correlation function between the Wilson loop and a 1/2 BPS local operator with R charge $J$. We take account of contributions coming from the same configurations of the above-mentioned broken zero modes. We find an agreement with the gauge theory side in the limit $J\ll \sqrt{\lambda {\cos }^2{\theta }_0}$.

24 pages

References in corpus (2)

• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Exact 1/4 BPS Loop - Chiral Primary Correlator