't Hooft Operators on an Interface and Bubbling D5-Branes

We consider a brane configuration consisting of a D5-brane, D1-branes and D3-branes. According to the AdS/CFT correspondence this system realizes a 't Hooft operator embedded in the interface in the gauge theory side. In the gravity side the near-horizon geometry is AdS_5 x S^5. The D5-brane is treated as a probe in the AdS_5 x S^5 and the D1-branes become the gauge flux on the D5-brane. We examine the condition for preserving appropriate amount of supersymmetry and derive a set of differential equations which is the sufficient and necessary condition. This supersymmetric configuration shows bubbling behavior. We try to derive the relation between the probe D5-brane and the Young diagram which labels the corresponding 't Hooft operator. We propose the dictionary of the correspondence between the Young diagram and the probe D5-brane configuration.

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