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arXiv · hep-th/0604056

Hyper-Kaehler geometry and dualization

S. Bellucci·S. Krivonos·A. Shcherbakov
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Abstract

We demonstrate that in N=8 supersymmetric mechanics with linear and nonlinear chiral supermultiplets one may dualize two auxiliary fields into physical ones in such a way that the bosonic manifold will be a hyper-Kaehler one. The key point of our construction is about different dualizations of the two auxiliary components. One of them is turned into a physical one in the standard way through its replacement by the total time derivative of some physical field. The other auxiliary field is dualized through a Lagrange multiplier. We clarify this choice of dualization by presenting the analogy with a three-dimensional case.

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S. Bellucci, S. Krivonos, A. Shcherbakov. 2006-04-07. Hyper-Kaehler geometry and dualization. https://doi.org/10.1103/physrevd.73.085014

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