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Conformal Surface Defects in Maxwell Theory are Trivial

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arxiv 2202.09180 v1 pith:F62TPAIW submitted 2022-02-18 hep-th

classification hep-th
keywords defectmaxwellcodimensionconformaldefectsfieldfreeappear
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider a free Maxwell field in four dimensions in the presence of a codimension two defect. Reflection positive, codimension two defects which preserve conformal symmetry in this context are very limited. We show only generalized free fields can appear in the defect operator product expansion of the bulk Maxwell field; in particular correlation functions of these defect operators can be evaluated via Wick's Theorem.

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  1. A Nonlocal Schwinger Model

    hep-th 2024-12 accept novelty 7.0 of 10

    For 2<d<4, 2D massless fermions coupled to a d-dimensional Maxwell field are exactly described by a scalar whose scaling dimension runs from 0 in the UV to (4-d)/2 in the IR.

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