New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.
Bootstrap equations for $\mathcal{N}=4$ SYM with defects
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abstract
This paper focuses on the analysis of $4d$ $\mathcal{N}=4$ superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the constraints imposed by supersymmetry, we will obtain the Ward identities associated to two-point functions of $\tfrac{1}{2}$-BPS operators and write their solution as a superconformal block expansion. Due to a surprising connection between spacetime and R-symmetry conformal blocks, our results not only apply to $4d$ $\mathcal{N}=4$ superconformal theories with a boundary, but also to three more systems that have the same symmetry algebra: $4d$ $\mathcal{N}=4$ superconformal theories with a line defect, $3d$ $\mathcal{N}=4$ superconformal theories with no defect, and $OSP(4^*|4)$ superconformal quantum mechanics. The superconformal algebra implies that all these systems possess a closed subsector of operators in which the bootstrap equations become polynomial constraints on the CFT data. We derive these truncated equations and initiate the study of their solutions.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Analytic bootstrap plus perturbative RG yields universal constraints on conformal data, new boundary fixed points in d=4-ε, and first extraction of boundary data for the tricritical O(N) model in d=3-ε.
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New Exotic Operators in the Spectrum of Wilson Lines in General Representations
New exotic operators appear on Wilson lines in general representations; their dimension-one superprimaries produce marginally relevant deformations of half-BPS defects in N=4 SYM, supported by a general weak-coupling four-point function.
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Analytic Bootstrap for $O(N)$ Boundary Conformal Field Theories with Interacting Boundaries
Analytic bootstrap plus perturbative RG yields universal constraints on conformal data, new boundary fixed points in d=4-ε, and first extraction of boundary data for the tricritical O(N) model in d=3-ε.