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

Abstract

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.

22 pages, 3 figures

References in corpus (14)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• On gravitational description of Wilson lines
• Knot Invariants from Four-Dimensional Gauge Theory
• Multiply wound Polyakov loops at strong coupling
• Bubbling Defect CFT's
• Bubbling Surface Operators And S-Duality
• The algebra of Wilson-'t Hooft operators
• Holographic Interface-Particle Potential
• Expectation values of chiral primary operators in holographic interface CFT
• Holography of BPS surface operators
• A note on Wilson-'t Hooft operators

Cited by in corpus (2)

• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices