Potential one-forms for hyperkähler structures with torsion
Liviu Ornea, Yat Sun Poon, Andrew Swann
Abstract
It is shown that an HKT-space with closed parallel potential 1-form has D(2,1;-1)-symmetry. Every locally conformally hyperkähler manifold generates this type of geometry. The HKT-spaces with closed parallel potential 1-form arising in this way are characterized by their symmetries and an inhomogeneous cubic condition on their torsion.
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