Holographic Gauge Theories in Background Fields and Surface Operators

Abstract

We construct a new class of supersymmetric surface operators in N=4 SYM and find the corresponding dual supergravity solutions. We show that the insertion of the surface operator - which is given by a WZW model supported on the surface - appears by integrating out the localized degrees of freedom along the surface which arise microscopically from a D3/D7 brane intersection. Consistency requires constructing N=4 SYM in the D7 supergravity background and not in flat space. This enlarges the class of holographic gauge theories dual to string theory backgrounds to gauge theories in non-trivial supergravity backgrounds. The dual Type IIB supergravity solutions we find reveal - among other features - that the holographic dual gauge theory does indeed live in the D7-brane background.

42 pages, harvmac, corrected typos

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• Entanglement Entropy in a Holographic Kondo Model
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• Adding Flavor to AdS4/CFT3
• Searching for surface defect CFTs within AdS${}_3$
• Intersecting Surface Defects and Two-Dimensional CFT
• Holography of BPS surface operators
• Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects
• Two-point Functions in a Holographic Kondo Model
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• 4D and 2D superconformal index with surface operator
• Warped $Ad{S}_2$ and $SU(1,1|4)$ symmetry in Type IIB
• Deformation of $\mathcal{N}=4$ SYM with varying couplings via fluxes and intersecting branes
• Integration Over The u-Plane In Donaldson Theory With Surface Operators
• Surface Operators in N=2 Abelian Gauge Theory
• Surface Operators in Abelian Gauge Theory
• Holographic Chern-Simons Defects
• Deconstructing Defects
• Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• Surface Operators in Superspace
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory