Conformally invariant differential operators on Minkowski space and their curved analogues |
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Authors: | Michael G Eastwood John W Rice |
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Institution: | (1) Department of Pure Mathematics, University of Adelaide, G.P.O. Box 498, 5001 Adelaide, South Australia;(2) School of Mathematics, Flinders University, 5042 Bedford Park, South Australia |
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Abstract: | This article describes the construction of a natural family of conformally invariant differential operators on a four-dimensional (pseudo-)Riemannian manifold. Included in this family are the usual massless field equations for arbitrary helicity but there are many more besides. The article begins by classifying the invariant operators on flat space. This is a fairly straightforward task in representation theory best solved through the theory of Verma modules. The method generates conformally invariant operators in the curved case by means of Penrose's local twistor transport.S.E.R.C. Advanced Fellow and Flinders University Visiting Research Fellow |
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