- Title
- Differential forms relating twistors to Dirac fields
- Creator
- Benn, I. M.; Kress, J. M.
- Publisher Link
- http://dx.doi.org/10th International Conference on Differential Geometry and its Applications (DGA2007). Differential Geometry and its Applications: Proceedings of the 10th International Conference on DGA2007 (Olomouc, Czech Republic 27-31 August, 2007) p. 559-566
- Relation
- http://www.worldscibooks.com/mathematics/6719.html
- Publisher
- World Scientific
- Resource Type
- conference paper
- Date
- 2008
- Description
- We look at first-order operators taking solutions to the twistor equation to solutions to the Dirac equation. This leads us to an interesting family of conformally-covariant equations for differential forms of arbitrary degree. This family of equations includes the conformally-covariant Laplace equation and the generalised (to middle-forms) Maxwell equation. First-order symmetry operators for this family give us second-order ones for the homogeneous members. We outline how this works in the conformally-flat case.
- Subject
- twistor equation; conformal Killing-Yano equation; symmetry operator; Dirac equation
- Identifier
- uon:5966
- Identifier
- http://hdl.handle.net/1959.13/45022
- Identifier
- ISBN:9789812790606
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