Dihedrally Symmetric Monopoles and Affine Toda Equations

2024/07/30 by Braden, H. W., Disney-Hogg, Linden · 1 citation
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2407.20747

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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