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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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)131 |
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| author | Oleksandr Diatlyk Zimo Sun Yifan Wang |
| author_facet | Oleksandr Diatlyk Zimo Sun Yifan Wang |
| author_sort | Oleksandr Diatlyk |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a393d972713241d7b4f5b958ab6bf6a8 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a393d972713241d7b4f5b958ab6bf6a82025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025614310.1007/JHEP06(2025)131Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansionOleksandr Diatlyk0Zimo Sun1Yifan Wang2Center for Cosmology and Particle Physics, New York UniversityJoseph Henry Laboratories, Princeton UniversityCenter for Cosmology and Particle Physics, New York UniversityAbstract 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.https://doi.org/10.1007/JHEP06(2025)131Renormalization GroupScale and Conformal Symmetries |
| spellingShingle | Oleksandr Diatlyk Zimo Sun Yifan Wang Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion Journal of High Energy Physics Renormalization Group Scale and Conformal Symmetries |
| title | Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion |
| title_full | Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion |
| title_fullStr | Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion |
| title_full_unstemmed | Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion |
| title_short | Surprises in the ordinary: O(N) invariant surface defect in the ϵ-expansion |
| title_sort | surprises in the ordinary o n invariant surface defect in the ϵ expansion |
| topic | Renormalization Group Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP06(2025)131 |
| work_keys_str_mv | AT oleksandrdiatlyk surprisesintheordinaryoninvariantsurfacedefectintheeexpansion AT zimosun surprisesintheordinaryoninvariantsurfacedefectintheeexpansion AT yifanwang surprisesintheordinaryoninvariantsurfacedefectintheeexpansion |