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Anti-self-dual Maxwell solutions on hyperkähler manifold and N=2 supersymmetric Ashtekar gravity

T. Ootsuka·S. Miyagi·Y. Yasui·S. Zeze
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Abstract

Anti-self-dual (ASD) Maxwell solutions on 4-dimensional hyperkähler manifolds are constructed. The N=2 supersymmetric half-flat equations are derived in the context of the Ashtekar formulation of N=2 supergravity. These equations show that the ASD Maxwell solutions have a direct connection with the solutions of the reduced N=2 supersymmetric ASD Yang-Mills equations with a special choice of gauge group. Two examples of the Maxwell solutions are presented.

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T. Ootsuka, S. Miyagi, Y. Yasui, S. Zeze. 1998-09-30. Anti-self-dual Maxwell solutions on hyperkähler manifold and N=2 supersymmetric Ashtekar gravity. https://doi.org/10.1088/0264-9381%2F16%2F4%2F019

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