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Fusion of conformal defects in four dimensions

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arxiv 2102.00718 v1 pith:TVFAF6FZ submitted 2021-02-01 hep-th cond-mat.str-el

Alexander Söderberg This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords defectsconformalotherdefectfusedfusionactionanother
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We consider two conformal defects close to each other in a free theory, and study what happens as the distance between them goes to zero. This limit is the same as zooming out, and the two defects have fused to another defect. As we zoom in we find a non-conformal effective action for the fused defect. Among other things this means that we cannot in general decompose the two-point correlator of two defects in terms of other conformal defects. We prove the fusion using the path integral formalism by treating the defects as sources for a scalar in the bulk.

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Cited by 1 Pith paper

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

  1. Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $\epsilon$-expansion

    hep-th 2024-11 conditional novelty 7.0 of 10

    The authors compute defect CFT data to third order in the epsilon expansion and discover approximate 'shadow' relations between surface and bulk scaling dimensions.

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