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- W2016303600 abstract "We consider the octonionic self-duality equations on eight-dimensional manifolds of the form $M_8=M_4times R^4$, where $M_4$ is a hyper-Kahler four-manifold. We construct explicit solutions to these equations and their symmetry reductions to the non-abelian Seiberg-Witten equations on $M_4$ in the case when the gauge group is SU(2). These solutions are singular for flat and Eguchi-Hanson backgrounds. For $M_4=Rtimes {mathcal G}$ with a cohomogeneity one hyper-Kahler metric, where ${mathcal G}$ is a nilpotent (Bianchi II) Lie group, we find a solution which is singular only on a single-sided domain wall. This gives rise to a regular solution of the non-abelian Seiberg-Witten equations on a four-dimensional nilpotent Lie group which carries a regular conformally hyper-Kahler metric." @default.
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- W2016303600 date "2012-08-01" @default.
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- W2016303600 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si2.gif display=inline overflow=scroll><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> solutions to self-duality equations in eight dimensions" @default.
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- W2016303600 doi "https://doi.org/10.1016/j.geomphys.2012.03.013" @default.
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