Hyperkahler Metrics from Monopole Walls

Abstract

We present ALH hyperkahler metrics induced from well-separated SU(2) monopole walls which are equivalent to monopoles on T2 x R. The metrics are explicitly obtained due to Manton's observation by using explicit monopole solutions. These are doubly-periodic and have the modular invariance with respect to the complex structure of the complex torus T2. We also derive metrics from monopole walls with Dirac-type singularities.

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