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Dihedrally Symmetric Monopoles and Affine Toda Equations

Published 30 Jul 2024 in hep-th, math-ph, math.MP, and nlin.SI | (2407.20747v1)

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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