Dihedrally Symmetric Monopoles and Affine Toda Equations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910546775769088 |
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| author | Braden, H. W. Disney-Hogg, Linden |
| author_facet | Braden, H. W. Disney-Hogg, Linden |
| contents | We show that any $SU(2)$ BPS monopole of charge $k$ with rotational spatial dihedral symmetry is gauge equivalent to the Nahm data obtained from affine Toda equations of $C_l^{(1)}$ type when $k=2l$ or $A_{2(l-1)}^{(2)}$ type when $k=2l-1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20747 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dihedrally Symmetric Monopoles and Affine Toda Equations Braden, H. W. Disney-Hogg, Linden High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems We show that any $SU(2)$ BPS monopole of charge $k$ with rotational spatial dihedral symmetry is gauge equivalent to the Nahm data obtained from affine Toda equations of $C_l^{(1)}$ type when $k=2l$ or $A_{2(l-1)}^{(2)}$ type when $k=2l-1$. |
| title | Dihedrally Symmetric Monopoles and Affine Toda Equations |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2407.20747 |