Conformally Invariant Powers of Spin Operators on the Sphere

Details Conformally Invariant Powers of Spin Operators on the Sphere Conformally Invariant Powers of Spin Operators on the Sphere

2011-09-14

arxiv.org/abs/1109.3169v1

Mathematics

Differential Geometry

Scientific paper

We give explicit formulas for all odd order differential intertwinors on the
subbundle of the bundle of spinor-$k$-forms that are annihilated by the
Clifford multiplication over the odd dimensional standard sphere. The Dirac and
Rarita-Schwinger operators appear in the case of $k=0$ and $k=1$, respectively.

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