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Fusion of conformal defects in interacting theories

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arxiv 2304.10239 v1 pith:3CWKOUDO submitted 2023-04-20 hep-th cond-mat.stat-mech

Fusion of conformal defects in interacting theories

classification hep-th cond-mat.stat-mech
keywords defectsfusionconformaldefectdivergencesfieldsfusedinvariant
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study fusion of two scalar Wilson defects. We propose that fusion holds at a quantum level by showing that bare one-point functions stay invariant. This is an expected result as the path integral stays invariant under fusion of the two defects. The difference instead lies in renormalization of local quantities on the defects. Those on the fused defect takes into account UV divergences in the fusion limit when the two defects approach eachother, in addition to UV divergences in the coincident limit of defect-local fields and in the near defect limits of bulk-local fields. At the fixed point of the corresponding RG flow the two conformal defects have fused into a single conformal defect.

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Cited by 4 Pith papers

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

  1. Quark Anti-Quark Fusion and Walking RG Flows

    hep-th 2026-07 unverdicted novelty 7.0

    Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.

  2. Extraordinary Surface Criticalities for Interacting Fermions

    hep-th 2026-04 unverdicted novelty 7.0

    Exact infrared solutions for defect renormalization group flows in the 3D Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent topological and geometric structures in defect coup...

  3. The state/defect correspondence

    hep-th 2026-06 unverdicted novelty 6.0

    Establishes a one-to-one correspondence between states and p-dimensional defects in higher-form Maxwell theories via an extended Kac-Moody algebra generated by conserved charges from mixed anomalies, mapping dressed W...

  4. Extraordinary Surface Criticalities for Interacting Fermions

    hep-th 2026-04 unverdicted novelty 6.0

    Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.