A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds

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Issue Date
1-Aug-11
Authors
Dyckmanns, Malte
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
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Abstract
We consider generalized Kahler structures (g,J_+,J_-) on a hyperkahler manifold (M,g,I,J,K), where we use the twistor space of M to choose J_+ and J_-. Relating semi-chiral to arctic superfields, we can determine the generalized Kahler potential for hyperkahler manifolds whose description in projective superspace is known. This is used to determine an S2-family of generalized Kahler potentials for Euclidean space and for the Eguchi-Hanson geometry.
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