Dirac operators lie at the heart of both mathematical physics and differential geometry, offering a unifying framework for the treatment of quantum mechanical systems and geometrical invariants. Their ...

Let X be a symmetric space of noncompact type whose isometry group is either SU(n, 1) or Spin(2n, 1). Then the Dirac operator D is defined on L2-sections of certain homogeneous vector bundles over X.

The higher spin Laplace operator has been constructed recently as the generalization of the Laplacian in higher spin theory. This acts on functions taking values in arbitrary irreducible ...