Line defects and radiation in $\mathcal{N}=2$ theories

Abstract

We study the conformal data of a generic superconformal half-BPS line defect in a four-dimensional $\mathcal{N}=2$ theory. We prove a theory independent relation between the one-point function of the stress tensor in the presence of the line defect and the two-point function of the displacement operator. When the defect is interpreted as a heavy charged particle in a gauge theory, the result relates the energy emitted through Bremsstrahlung with the coupling of the stress tensor to the particle at rest.

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• Analytic Bootstrap for Boundary CFT
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• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Superconformal surfaces in four dimensions
• Spinning operators and defects in conformal field theory
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• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
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• Analytic bootstrap for the localized magnetic field
• Bootstrapping line defects in $\mathcal{N}=2$ theories
• Operator expansions, layer susceptibility and two-point functions in BCFT
• Spin chain integrability in non-supersymmetric Wilson loops
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• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
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• Defect Conformal Blocks from Appell Functions
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• Ironing out the crease
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• On scalar radiation
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• Shape Deformations of Charged Rényi Entropies from Holography
• Holographic Wilson Loop One-point Functions in ABJM Theory