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A dispersion relation for defect CFT

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arxiv 2205.09765 v1 pith:G3WNBD4V submitted 2022-05-19 hep-th

Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo This is my paper
classification hep-th
keywords defectdispersionformularelationresultsanalyticapplicationsarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap calculations, bypassing the resummation of conformal blocks. As applications we reproduce known results for monodromy defects in the epsilon-expansion, and present new results for the supersymmetric Wilson line at strong coupling in $\mathcal{N}=4$ SYM. In particular, we derive a new analytic formula for the highest $R$-symmetry channel of single-trace operators of arbitrary length.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Monodromy Pinning Defects in the Critical $\mathrm{O}(2N)$ Model

    hep-th 2025-10 conditional novelty 7.0 of 10

    A relevant spin-v perturbation of the O(2N) monodromy defect flows to a new 'monodromy pinning' spinning DCFT whose large-N operator dimensions and one-point functions are computed.

  2. Notes on flat-space limit of holographic defect correlators in position space

    hep-th 2025-07 accept novelty 7.0 of 10

    A position-space flat-space limit formula for holographic defect two-point functions is derived, proven equivalent to the Mellin-space conjecture, and checked against Wilson loops, surface defects, and giant gravitons.

  3. The analytic bootstrap at finite temperature

    hep-th 2025-06 conditional novelty 7.0 of 10

    Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.

  4. Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

    hep-th 2025-06 conditional novelty 4.0 of 10

    A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.

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