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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/2504.16017 |
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| _version_ | 1866908730928398336 |
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| author | Iqbal, Nabil Neogi, Navonil |
| author_facet | Iqbal, Nabil Neogi, Navonil |
| contents | In Abelian gauge theories with dynamical matter, Wilson lines can end on the insertions of charged fields. We study the endpoints of Wilson lines in large $N$ bosonic QED$_3$. at its critical point. We first study the stability of an infinite Wilson line in the $\mathbb{CP}^{N-1}$ model by computing the appropriate functional determinant at large $N$. We also compute the conformal dimension of the lowest-dimension endpoint of the line to first order in $N^{-1}$. Along the way we calculate the field-strength tensor $F_{μν}$ in the presence of the line with endpoint and discuss a state-operator correspondence for the endpoints, as well as the existence of an OPE that allows two open-ended Wilson lines to be glued together into a single line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wilson lines with endpoints in 3d CFT Iqbal, Nabil Neogi, Navonil High Energy Physics - Theory Strongly Correlated Electrons In Abelian gauge theories with dynamical matter, Wilson lines can end on the insertions of charged fields. We study the endpoints of Wilson lines in large $N$ bosonic QED$_3$. at its critical point. We first study the stability of an infinite Wilson line in the $\mathbb{CP}^{N-1}$ model by computing the appropriate functional determinant at large $N$. We also compute the conformal dimension of the lowest-dimension endpoint of the line to first order in $N^{-1}$. Along the way we calculate the field-strength tensor $F_{μν}$ in the presence of the line with endpoint and discuss a state-operator correspondence for the endpoints, as well as the existence of an OPE that allows two open-ended Wilson lines to be glued together into a single line. |
| title | Wilson lines with endpoints in 3d CFT |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2504.16017 |