Conformally invariant powers of the ambient Dirac operator

Details Conformally invariant powers of the ambient Dirac operator Conformally invariant powers of the ambient Dirac operator

2001-12-04

arxiv.org/abs/math/0112033v2

Mathematics

Differential Geometry

16 pages

Scientific paper

This paper constructs a family of conformally invariant differential operators acting on spinor densities with leading part a power of the Dirac operator. The construction applies for all powers in odd dimensions, and only for finitely many powers in even dimensions. These operators arise naturally as obstructions to formal solution of the Dirac equation on the Fefferman-Graham ambient space with prescribed boundary conditions.

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