The higher spin Laplace operator in several vector variables

Abstract

In this paper, an explicit expression is obtained for the conformally invariant higher spin Laplace operator ${\mathcal{D}}_{\lambda }$, which acts on functions taking values in an arbitrary (finite-dimensional) irreducible representation for the orthogonal group with integer valued highest weight. Once an explicit expression is obtained, a special kind of (polynomial) solutions of this operator is determined.

References in corpus (1)

• Interactions in Higher-Spin Gravity: a Holographic Perspective