Circular Wilson loops in defect Conformal Field Theory

Abstract

We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by $k$. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, one can define a double scaling limit in which the quantum corrections are organized in powers of $\lambda /k^2$, which should allow to extrapolate results between weak and strong coupling regimes. In particular we consider a radius $R$ circular Wilson loop placed at a distance $L$, whose internal space orientation is given by an angle $\chi$. We compute its vacuum expectation value and show that, in the double scaling limit and for small $\chi$ and small $L/R$, weak coupling results can be extrapolated to the strong coupling limit.

24 pages

References in corpus (4)

• AdS/dCFT one-point functions of the SU(3) sector
• A Quantum Check of AdS/dCFT
• Chiral primary one-point functions in the D3-D7 defect conformal field theory
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT

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• Quark-antiquark potential in defect conformal field theory
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• The Game of Triangles
• S-duality of boundary lines in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Wilson lines in AdS/dCFT