D1-brane correction to a line operator index
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914079997689856 |
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| author | Imamura, Yosuke Sei, Akihiro |
| author_facet | Imamura, Yosuke Sei, Akihiro |
| contents | Wilson line operators in the rank $k$ totally symmetric tensor representation of ${\cal N}=4$ $U(N)$ sypersymmetric Yang-Mills theories are expected to be realized as D3-branes expanded in $AdS_5$. Although there is a mismatch between the corresponding line operator indices even in the large $N$ and large $k$ limit, it is possible to calculate the finite $k$ correction on the AdS side as the contribution from D1-branes. We analyze D1-brane fluctuation modes and calculate the leading finite $k$ correction to the line operator index on the AdS side. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | D1-brane correction to a line operator index Imamura, Yosuke Sei, Akihiro High Energy Physics - Theory Wilson line operators in the rank $k$ totally symmetric tensor representation of ${\cal N}=4$ $U(N)$ sypersymmetric Yang-Mills theories are expected to be realized as D3-branes expanded in $AdS_5$. Although there is a mismatch between the corresponding line operator indices even in the large $N$ and large $k$ limit, it is possible to calculate the finite $k$ correction on the AdS side as the contribution from D1-branes. We analyze D1-brane fluctuation modes and calculate the leading finite $k$ correction to the line operator index on the AdS side. |
| title | D1-brane correction to a line operator index |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.05788 |