The twisted photon associated to hyper-Hermitian four-manifolds
M Dunajski - Journal of Geometry and Physics, 1999 - Elsevier
Journal of Geometry and Physics, 1999•Elsevier
The Lax formulation of the hyper-Hermiticity condition in four dimensions is used to derive a
pair of potentials that generalises Plebanski's second heavenly equation for hyper-Kähler
four-manifolds. A class of examples of hyper-Hermitian metrics which depend on two
arbitrary functions of two complex variables is given. The twistor theory of four-dimensional
hyper-Hermitian manifolds is formulated as a combination of the Nonlinear Graviton
Construction with the Ward transform for anti-self-dual Maxwell fields.
pair of potentials that generalises Plebanski's second heavenly equation for hyper-Kähler
four-manifolds. A class of examples of hyper-Hermitian metrics which depend on two
arbitrary functions of two complex variables is given. The twistor theory of four-dimensional
hyper-Hermitian manifolds is formulated as a combination of the Nonlinear Graviton
Construction with the Ward transform for anti-self-dual Maxwell fields.
The Lax formulation of the hyper-Hermiticity condition in four dimensions is used to derive a pair of potentials that generalises Plebanski's second heavenly equation for hyper-Kähler four-manifolds. A class of examples of hyper-Hermitian metrics which depend on two arbitrary functions of two complex variables is given. The twistor theory of four-dimensional hyper-Hermitian manifolds is formulated as a combination of the Nonlinear Graviton Construction with the Ward transform for anti-self-dual Maxwell fields.
Elsevier
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