A D5-D7 brane configuration in AdS5 x S5 provides an interpolating holographic dual for defect CFTs, with anomaly cancellation and a conjectured SYM solution.
Bubbling surface operators and S-duality
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abstract
We construct smooth asymptotically AdS_5xS^5 solutions of Type IIB supergravity corresponding to all the half-BPS surface operators in N=4 SYM. All the parameters labeling a half-BPS surface operator are identified in the corresponding bubbling geometry. We use the supergravity description of surface operators to study the action of the SL(2,Z) duality group of N=4 SYM on the parameters of the surface operator, and find that it coincides with the recent proposal by Gukov and Witten in the framework of the gauge theory approach to the geometrical Langlands with ramification. We also show that whenever a bubbling geometry becomes singular that the path integral description of the corresponding surface operator also becomes singular.
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The type-A Weyl anomaly coefficient b for holographic defect CFTs is negative in a finite parameter region at both weak and strong coupling, providing the first explicit example of an interacting unitary dCFT with b<0.
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Holographic interpolations of defect CFTs
A D5-D7 brane configuration in AdS5 x S5 provides an interpolating holographic dual for defect CFTs, with anomaly cancellation and a conjectured SYM solution.
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Weyl Anomaly Coefficients of Holographic Defect CFTs at Weak and Strong Coupling
The type-A Weyl anomaly coefficient b for holographic defect CFTs is negative in a finite parameter region at both weak and strong coupling, providing the first explicit example of an interacting unitary dCFT with b<0.