Giant graviton expansion for general Wilson line operator indices
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913496579440640 |
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| author | Imamura, Yosuke Sei, Akihiro Yokoyama, Daisuke |
| author_facet | Imamura, Yosuke Sei, Akihiro Yokoyama, Daisuke |
| contents | We propose a giant graviton expansion for Wilson line operator indices in general representations. The inserted line operators are specified by power sum symmetric polynomials $p_λ$ labeled by partitions $λ$. We interpret the partitions as the structure of fundamental string worldsheets wrapping around the temporal circle. The strings may or may not end on giant gravitons, and by summing the contributions from all brane configurations consistent with the specified partitions, we obtain the finite $N$ line operator index. The proposed formula is consistent with known results and passes highly non-trivial numerical tests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19777 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Giant graviton expansion for general Wilson line operator indices Imamura, Yosuke Sei, Akihiro Yokoyama, Daisuke High Energy Physics - Theory We propose a giant graviton expansion for Wilson line operator indices in general representations. The inserted line operators are specified by power sum symmetric polynomials $p_λ$ labeled by partitions $λ$. We interpret the partitions as the structure of fundamental string worldsheets wrapping around the temporal circle. The strings may or may not end on giant gravitons, and by summing the contributions from all brane configurations consistent with the specified partitions, we obtain the finite $N$ line operator index. The proposed formula is consistent with known results and passes highly non-trivial numerical tests. |
| title | Giant graviton expansion for general Wilson line operator indices |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.19777 |