Holography of BPS surface operators

Abstract

We study a class of dilatation invariant BPS surface operators in 4-dimensional N=4 Super Yang-Mills theory and their holographic duals in type IIB string theory in AdS_5 x S^5. First we take an example of 1/4 BPS surface operator and study it in detail from the holographic point of view. The gravity dual of this surface operator is a D3-brane characterized by a holomorphic submanifold. The supersymmetry and vacuum expectation value are checked in both the gauge theory side and the gravity side. We also calculate the correlation functions with the chiral primary operators in both sides and find good agreement. Next we consider more general dilatation invariant BPS surface operators. The gravity duals of those operators are proposed.

34 pages, 1 figure, added comments about path-integral

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Cited by in corpus (20)

• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Vortex Loop Operators, M2-branes and Holography
• Superconformal surfaces in four dimensions
• Surface Defect, Anomalies and $b$-Extremization
• Holographic Interface-Particle Potential
• Expectation values of chiral primary operators in holographic interface CFT
• Exact results for vortex loop operators in 3d supersymmetric theories
• Supersymmetric Rényi Entropy and Defect Operators
• Surface operators in the Klebanov-Witten theory
• Observations on BPS observables in 6d
• Surface Operators from M-strings
• 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
• An Operator Product Expansion for the Mutual Information in AdS/CFT
• On BPS Strings in $\mathcal{N}=4$ Yang-Mills Theory
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• More Holographic M5 branes in $Ad{S}_7\times S^4$
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory
• D5-brane in AdS black holes with nonzero gauge flux