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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.05519 |
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| _version_ | 1866911307391827968 |
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| author | Anataichuk, Andrii Harribey, Sabine |
| author_facet | Anataichuk, Andrii Harribey, Sabine |
| contents | This paper studies generic surface defects for multiscalar critical models using a perturbative $ε$ expansion in $4-ε$ dimensions. The beta functions of the defect couplings for a generic multiscalar bulk with quartic interactions are computed at first non-trivial order in $ε$. Specific bulks of interest are then considered: $O(N)$, hypercubic, hypertetrahdral, and biconical $O(m)\times O(n)$. In each case, we compute fixed points for the defect couplings and determine the remaining bulk symmetry. Expanding beyond the $O(N)$ model, we find a greater variety of patterns of symmetry breaking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on surface defects in multiscalar critical models Anataichuk, Andrii Harribey, Sabine High Energy Physics - Theory Strongly Correlated Electrons This paper studies generic surface defects for multiscalar critical models using a perturbative $ε$ expansion in $4-ε$ dimensions. The beta functions of the defect couplings for a generic multiscalar bulk with quartic interactions are computed at first non-trivial order in $ε$. Specific bulks of interest are then considered: $O(N)$, hypercubic, hypertetrahdral, and biconical $O(m)\times O(n)$. In each case, we compute fixed points for the defect couplings and determine the remaining bulk symmetry. Expanding beyond the $O(N)$ model, we find a greater variety of patterns of symmetry breaking. |
| title | Note on surface defects in multiscalar critical models |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.05519 |