Asymptotically Locally Flat Hyperkahler Metrics of D-type

Sergey Cherkis
Institute for Advanced Studies, Princeton

ALF spaces emerge as quantum spaces of vacua of three-dimensional
Seiberg-Witten theories, moduli spaces of monopoles, U(1) invariant instantons,
and as spaces of solutions of Nahm equations. Depending on the intersection of
their compact two-cycles, these spaces can be of A or D type. The latter
generically posses no isometries. We present complete hyperkahler metrics on
all such spaces.

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