Kac-Moody algebras from M5-giants
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912571144011776 |
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| author | Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi |
| author_facet | Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi |
| contents | We examine the giant graviton expansions of the Higgs indices for the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories with $l$ fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number $m$ appearing in the expansions consist of the contributions that generalize the characters of the W-algebra $\mathcal{W}(\mathfrak{gl}(m))$ and those which realize the characters of the affine Kac-Moody algebras of type $A_{l-1}$. Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kac-Moody algebras from M5-giants Hayashi, Hirotaka Nosaka, Tomoki Okazaki, Tadashi High Energy Physics - Theory We examine the giant graviton expansions of the Higgs indices for the 3d $\mathcal{N}=4$ $U(N)$ ADHM theories with $l$ fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number $m$ appearing in the expansions consist of the contributions that generalize the characters of the W-algebra $\mathcal{W}(\mathfrak{gl}(m))$ and those which realize the characters of the affine Kac-Moody algebras of type $A_{l-1}$. Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices. |
| title | Kac-Moody algebras from M5-giants |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.20663 |