Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov, Maike Tormaehlen
We consider homogeneous spaces SU(4)/U(3) and Sp(2)/Sp(1)xU(1), both representing the complex projective space CP^3, as well as the natural twistor spaces SU(4)/U(2)xU(1) and Sp(2)/U(1)xU(1) fibred over the above cosets with CP^2 and CP^1 fibres, respectively. We describe the relation between Hermitian Yang-Mills connections (instantons) on complex vector bundles over CP^3 and holomorphic bundles over the associated twistor spaces.
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http://arxiv.org/abs/1302.5577
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