$\mathcal{N}=4$ line defect correlators of type BCD
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911037753655296 |
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| author | Hatsuda, Yasuyuki Lin, Hai Okazaki, Tadashi |
| author_facet | Hatsuda, Yasuyuki Lin, Hai Okazaki, Tadashi |
| contents | We analyze the line defect correlation functions decorating the supersymmetric indices of $\mathcal{N}=4$ super Yang-Mills theories with orthogonal and symplectic gauge groups. We obtain exact closed-form expressions for the correlators by means of combinatorial methods associated with the group characters, including the generalized Murnaghan-Nakayama rules. The exact results for the large $N$ correlators lead to the gravity indices for the gravity dual spectrum of the fluctuations of the fundamental string wrapping $AdS_2$ and those of the fat string, the D5-brane wrapping $AdS_2$ $\times$ $\mathbb{RP}^4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathcal{N}=4$ line defect correlators of type BCD Hatsuda, Yasuyuki Lin, Hai Okazaki, Tadashi High Energy Physics - Theory We analyze the line defect correlation functions decorating the supersymmetric indices of $\mathcal{N}=4$ super Yang-Mills theories with orthogonal and symplectic gauge groups. We obtain exact closed-form expressions for the correlators by means of combinatorial methods associated with the group characters, including the generalized Murnaghan-Nakayama rules. The exact results for the large $N$ correlators lead to the gravity indices for the gravity dual spectrum of the fluctuations of the fundamental string wrapping $AdS_2$ and those of the fat string, the D5-brane wrapping $AdS_2$ $\times$ $\mathbb{RP}^4$. |
| title | $\mathcal{N}=4$ line defect correlators of type BCD |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.18110 |