Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion
Abstract We study an O(N) invariant surface defect in the Wilson-Fisher conformal field theory (CFT) in d = 4 – ϵ dimensions. This defect is defined by mass deformation on a two-dimensional surface that generates localized disorder and is conjectured to factorize into a pair of ordinary boundary con...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2025)131 |
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| Summary: | Abstract We study an O(N) invariant surface defect in the Wilson-Fisher conformal field theory (CFT) in d = 4 – ϵ dimensions. This defect is defined by mass deformation on a two-dimensional surface that generates localized disorder and is conjectured to factorize into a pair of ordinary boundary conditions in d = 3. We determine defect CFT data associated with the lightest O(N) singlet and vector operators up to the third order in the ϵ-expansion, find agreements with results from numerical methods and provide support for the factorization proposal in d = 3. Along the way, we observe surprising non-renormalization properties for surface anomalous dimensions and operator-product-expansion coefficients in the ϵ-expansion. We also analyze the full conformal anomalies for the surface defect. |
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| ISSN: | 1029-8479 |