Brane expansions for anti-symmetric line operator index
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914850827927552 |
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| author | Imamura, Yosuke Inoue, Masato |
| author_facet | Imamura, Yosuke Inoue, Masato |
| contents | Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for $I_{N,k}$, the Schur index of ${\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric representation of rank $k$. For the large $N$ index $I_{\infty,k}$ we propose a double-sum expansion, and for finite $N$ index $I_{N,k}$ we propose a quadruple-sum expansion. Objects causing finite $k$ and finite $N$ corrections are disk D3-branes ending on the D5-brane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Brane expansions for anti-symmetric line operator index Imamura, Yosuke Inoue, Masato High Energy Physics - Theory Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for $I_{N,k}$, the Schur index of ${\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric representation of rank $k$. For the large $N$ index $I_{\infty,k}$ we propose a double-sum expansion, and for finite $N$ index $I_{N,k}$ we propose a quadruple-sum expansion. Objects causing finite $k$ and finite $N$ corrections are disk D3-branes ending on the D5-brane. |
| title | Brane expansions for anti-symmetric line operator index |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.08302 |