# On conformal powers of the Dirac operator on spin manifolds

@inproceedings{Fischmann2014OnCP, title={On conformal powers of the Dirac operator on spin manifolds}, author={M. Fischmann}, year={2014} }

The well known conformal covariance of the Dirac operator acting on spinor fields does not extend to its powers in general. For odd powers of the Dirac operator we derive an algorithmic construction in terms of associated tractor bundles computing correction terms in order to achieve conformal covariance. These operators turn out to be formally (anti-) self-adjoint. Working out this algorithm we recover explicit formula for the conformal third and present a conformal fifth power of the Dirac… Expand

#### 2 Citations

On conformal powers of the Dirac operator on Einstein manifolds

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We determine the structure of conformal powers of the Dirac operator on Einstein Spin-manifolds in terms of the product formula for shifted Dirac operators. The result is based on the techniques of… Expand

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We present a novel approach to the classification of conformally equivariant differential operators on spinors in the case of homogeneous conformal geometry. It is based on the classification of… Expand

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