Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory

Abstract

Surface operators are among the most important observables of the 6d $\mathcal{N}=(2,0)$ theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the displacement operator to the expectation value of the bulk stress tensor and translate this relation into a constraint on the anomaly coefficients associated with the defect. Secondly, we study the defect operator expansion of the stress tensor multiplet and identify several new operators of the defect CFT. Technical results derived along the way include the explicit supersymmetry tranformations of the stress tensor multiplet and the classification of unitary representations of the superconformal algebra preserved by the defect.

arXiv comment41 pages, two figures

References in corpus (49)

• Wilson loops in large N field theories
• Bounding scalar operator dimensions in 4D CFT
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Comments on gluon scattering amplitudes via AdS/CFT
• The Bootstrap Program for Boundary CFT_d
• Entanglement entropy, conformal invariance and extrinsic geometry
• Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Exact results for the entanglement entropy and the energy radiated by a quark
• The Self-Dual String Soliton
• Supersymmetric Wilson loops
• Boundary Conformal Field Theory and a Boundary Central Charge
• Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
• M 5-brane and superconformal (0,2) tensor multiplet in 6 dimensions
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Integrable Wilson loops
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• Rényi entropy and conformal defects
• Surface Defects and Chiral Algebras
• Six-Dimensional Tensionless Strings In The Large N Limit
• On Shape Dependence and RG Flow of Entanglement Entropy
• Entanglement Entropy for Singular Surfaces
• The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories
• Universality in the geometric dependence of Renyi entropy
• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• Weyl anomaly for Wilson surfaces
• Line defects and radiation in $\mathcal{N}=2$ theories
• Correlation Functions of Operators and Wilson Surfaces in the d=6, (0,2) Theory in the Large N Limit
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• Superconformal Symmetry in Six-dimensions and Its Reduction to Four
• Wilson Loop Renormalization Group Flows
• Superconformal surfaces in four dimensions
• Half-BPS supergravity solutions and superalgebras
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Aspects of Superconformal Multiplets in D>4
• Central Charges of 2d Superconformal Defects
• Holographic entanglement entropy from probe M-theory branes
• Bootstrapping line defects in $\mathcal{N}=2$ theories
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Conformal anomaly of Wilson surface observables - a field theoretical computation
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• On the Weyl anomaly of Wilson surfaces
• On the logarithmic divergent part of entanglement entropy, smooth versus singular regions

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• Analytic bootstrap for the localized magnetic field
• Free energy and defect $C$-theorem in free scalar theory
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• A Sum Rule for Boundary Contributions to the Trace Anomaly
• Ironing out the crease
• BPS surface operators and calibrations
• Rényi Entropy with Surface Defects in Six Dimensions
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• Universal sectors in superconformal defects