English

Conformally Invariant Powers of Spin Operators on the Sphere

Differential Geometry 2011-09-15 v1

Abstract

We give explicit formulas for all odd order differential intertwinors on the subbundle of the bundle of spinor-kk-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=0k=0 and k=1k=1, respectively.

Keywords

Cite

@article{arxiv.1109.3169,
  title  = {Conformally Invariant Powers of Spin Operators on the Sphere},
  author = {Doojin Hong},
  journal= {arXiv preprint arXiv:1109.3169},
  year   = {2011}
}