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    A twistor-sphere of generalized Kahler potentials on hyperkahler manifolds

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    Dyckmanns_grad.sunysb_0771M_10628.pdf (425.9Kb)
    Date
    1-Aug-11
    Author
    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.
    URI
    http://hdl.handle.net/1951/55989
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