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arXiv · 2407.20747

Dihedrally Symmetric Monopoles and Affine Toda Equations

H. W. Braden·Linden Disney-Hogg
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Abstract

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 $k=2l-1$.

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H. W. Braden, Linden Disney-Hogg. 2024-07-30. Dihedrally Symmetric Monopoles and Affine Toda Equations. https://arxiv.org/abs/2407.20747

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