We consider a brane configuration consisting of a D5-brane, D1-branes and D3-branes. According to the anti-de Sitter/conformal field theory (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 ${\mathrm{AdS}}_5\times S^5$. The D5-brane is treated as a probe in the ${\mathrm{AdS}}_5\times S^5$ and the D1-branes become the gauge flux on the D5-brane. We examine the condition for preserving an 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.

• Received 27 September 2013

DOI:https://doi.org/10.1103/PhysRevD.89.046002