Bubbling Surface Operators And S-Duality

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.

26 pages, harvmac; minor typos corrected and reference added, typos fixed

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• Holographic Gauge Theories in Background Fields and Surface Operators
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• Strings ending on branes from supergravity
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• Holography of BPS surface operators
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• Strings on Bubbling Geometries
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• Surface Operators from M-strings
• N = 2 SCFTs: An M5-brane perspective
• Integration Over The u-Plane In Donaldson Theory With Surface Operators
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• Surface Operators in N=2 Abelian Gauge Theory
• Surface Operators in Abelian Gauge Theory
• Holographic Generalised Gukov-Witten Defects
• An Operator Product Expansion for the Mutual Information in AdS/CFT
• Interior analysis, stretched technique and bubbling geometries
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• Surface Defects from Fractional Branes -- I
• Holography of a novel codimension-2 defect CFT
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
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• Holographic interpolations of defect CFTs
• Rigid surface operators and S-duality: some proposals
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory
• Near Horizon Geometry of Strings Ending on Intersecting D8/D4-branes
• S-duality and loop operators in canonical formalism
• Weyl Anomaly Coefficients of Holographic Defect CFTs at Weak and Strong Coupling
• Rigid Surface Operator and Symbol Invariant of Partitions