Hidden $SL_2(\mathbb{Z})$-symmetry in $BC_l^{(2)}$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916598468575232 |
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| author | Iohara, K. Saito, Y. |
| author_facet | Iohara, K. Saito, Y. |
| contents | A well-known \(Γ_θ\)-action on the characters of integrable highest weight modules over the affine Lie algebra of type \(BC_l^{(2)}\) at a positive level is extended to an \(\mathrm{SL}_2(\mathbb{Z})\)-action at a positive even level by supplementing their twisted characters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hidden $SL_2(\mathbb{Z})$-symmetry in $BC_l^{(2)}$ Iohara, K. Saito, Y. Representation Theory Mathematical Physics A well-known \(Γ_θ\)-action on the characters of integrable highest weight modules over the affine Lie algebra of type \(BC_l^{(2)}\) at a positive level is extended to an \(\mathrm{SL}_2(\mathbb{Z})\)-action at a positive even level by supplementing their twisted characters. |
| title | Hidden $SL_2(\mathbb{Z})$-symmetry in $BC_l^{(2)}$ |
| topic | Representation Theory Mathematical Physics |
| url | https://arxiv.org/abs/2502.03316 |