Surface operators in the 6d $\mathcal{N}=(2,0)$ theory

Abstract

The 6d $\mathcal{N}=(2,0)$ theory has natural surface operator observables, which are akin in many ways to Wilson loops in gauge theories. We propose a definition of a "locally BPS" surface operator and study its conformal anomalies, the analog of the conformal dimension of local operators. We study the abelian theory and the holographic dual of the large $N$ theory refining previously used techniques. Introducing non-constant couplings to the scalar fields allows for an extra anomaly coefficient, which we find in both cases to be related to one of the geometrical anomaly coefficients, suggesting a general relation due to supersymmetry. We also comment on surfaces with conical singularities.

arXiv comment31 pages, one figure; v2: fixed numerical factor, reference added, published version

References in corpus (45)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Open P-Branes
• Wilson Loops and Minimal Surfaces
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Five-Brane Effective Action In M-Theory
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Entanglement entropy, conformal invariance and extrinsic geometry
• On Lorentz Invariant Actions for Chiral P-Forms
• 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
• Covariant Field Equations of the M Theory Five-Brane
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• The Self-Dual String Soliton
• Entanglement Entropy, Trace Anomalies and Holography
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Supersymmetric Wilson loops
• Boundary Conformal Field Theory and a Boundary Central Charge
• M 5-brane and superconformal (0,2) tensor multiplet in 6 dimensions
• Integrable Wilson loops
• The cusp anomalous dimension at three loops and beyond
• Rényi entropy and conformal defects
• Integrability of Conformal Fishnet Theory
• Multiple Membranes in M-theory
• Entanglement Entropy for Singular Surfaces
• On Shape Dependence and RG Flow of Entanglement Entropy
• Universality in the geometric dependence of Renyi entropy
• Boundary terms of conformal anomaly
• Wilson Loop Renormalization Group Flows
• The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• Aspects of Superconformal Multiplets in D>4
• Conformal anomalies of CFT's with boundaries
• (2,0) Lagrangian Structures
• Universal entanglement for higher dimensional cones
• Holographic entanglement entropy from probe M-theory branes
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Lessons from M2's and Hopes for M5's
• On the logarithmic divergent part of entanglement entropy, smooth versus singular regions
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS

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• Duality and Fluxes in the Sen Formulation of Self-Dual Fields
• Observations on BPS observables in 6d
• M2-doughnuts
• Vortex loop operators and quantum M2-branes
• Ironing out the crease
• Holographic M5 branes in $Ad{S}_7\times S^4$
• BPS surface operators and calibrations
• Rényi Entropy with Surface Defects in Six Dimensions
• Surface Operators in Superspace
• More Holographic M5 branes in $Ad{S}_7\times S^4$
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy