ADHM Wilson line defect indices
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866916405096480768 |
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| author | Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi |
| author_facet | Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi |
| contents | The Coulomb and Higgs indices of the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large $N$ limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00413 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ADHM Wilson line defect indices Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi High Energy Physics - Theory The Coulomb and Higgs indices of the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large $N$ limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs. |
| title | ADHM Wilson line defect indices |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.00413 |