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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.16522 |
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| _version_ | 1866912231868858368 |
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| author | Diatlyk, Oleksandr Sun, Zimo Wang, Yifan |
| author_facet | Diatlyk, Oleksandr Sun, Zimo Wang, Yifan |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $ε$-expansion Diatlyk, Oleksandr Sun, Zimo Wang, Yifan High Energy Physics - Theory 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. |
| title | Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $ε$-expansion |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.16522 |