The higher spin Dirac operators

Details The higher spin Dirac operators The higher spin Dirac operators

1999-01-09

arxiv.org/abs/math/9901039v1

Mathematics

Differential Geometry

Latex, 21 pages, submitted to Proc.Conf Diff. Geometry and its Applications Brno 1998

Scientific paper

There is a certain family of conformally invariant first order elliptic operators on Riemannian spin manifold which include Dirac operator as its first and simplest member. Their general definition is given and their basic properties are described. A special attention is paid to the Rarita-Schwinger operator the second simplest operator in the row. Its basic properties are described in more details. In the last part indices of discussed operators are computed.

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