Monopole Zeros

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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uuencoded latex, 15 pages, 4 figures. To appear in Physics Letters B

Scientific paper

10.1016/0370-2693(96)00269-9

Recently the existence of certain SU(2) BPS monopoles with the symmetries of the Platonic solids has been proved. Numerical results in an earlier paper suggest that one of these new monopoles, the tetrahedral 3-monopole, has a remarkable new property, in that the number of zeros of the Higgs field is greater than the topological charge (number of monopoles). As a consequence, zeros of the Higgs field exist (called anti-zeros) around which the local winding number has opposite sign to that of the total winding. In this letter we investigate the presence of anti-zeros for the other Platonic monopoles. Other aspects of anti-zeros are also discussed.

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