Given two hyperkähler manifolds M and N and a quaternionic instanton on their product, a hyperk¨ahler Nahm transform can be defined, which maps quaternionic instantons on M to quaternionic instantons on N. This construction includes the case of Nahm transform for periodic instantons on R^4, the Fourier-Mukai transform for instantons on K3 surfaces, as well as the Nahm transform for ALE instantons.
Hyperkaehler Nahm transform
BARTOCCI, CLAUDIO;
2004-01-01
Abstract
Given two hyperkähler manifolds M and N and a quaternionic instanton on their product, a hyperk¨ahler Nahm transform can be defined, which maps quaternionic instantons on M to quaternionic instantons on N. This construction includes the case of Nahm transform for periodic instantons on R^4, the Fourier-Mukai transform for instantons on K3 surfaces, as well as the Nahm transform for ALE instantons.
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