One-loop Wilson loops and the particle-interface potential in AdS/dCFT

Abstract

We initiate the calculation of quantum corrections to Wilson loops in a class of four-dimensional defect conformal field theories with vacuum expectation values based on N=4 super Yang-Mills theory. Concretely, we consider an infinite straight Wilson line, obtaining explicit results for the one-loop correction to its expectation value in the large-N limit. This allows us to extract the particle-interface potential of the theory. In a further double-scaling limit, we compare our results to those of a previous calculation in the dual string-theory set-up consisting of a D5-D3 probe-brane system with flux, and we find perfect agreement.

Published version

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• One-point functions in AdS/dCFT
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• Circular Wilson loops in defect Conformal Field Theory
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• Quark-antiquark potential in defect conformal field theory
• 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