A note on monopole moduli spaces

Details A note on monopole moduli spaces A note on monopole moduli spaces

2003-02-10

arxiv.org/abs/math-ph/0302020v1

J.Math.Phys. 44 (2003) 3517-3531

Physics

Mathematical Physics

17 pages, LaTeX

Scientific paper

10.1063/1.1590056

We discuss the structure of the framed moduli space of Bogomolny monopoles for arbitrary symmetry breaking and extend the definition of its stratification to the case of arbitrary compact Lie groups. We show that each stratum is a union of submanifolds for which we conjecture that the natural $L^2$ metric is hyperKahler. The dimensions of the strata and of these submanifolds are calculated, and it is found that for the latter, the dimension is always a multiple of four.

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