Tensors and Spinors in de Sitter Space

Understand

We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS$_{d+1}$ in a coordinate and index free formalism using a $d+2$ dimensional ambient space.

• We expand the embedding space formalism to cover spinor and tensor fields in any even or odd dimension.
• Our goal is to furnish a self-contained toolkit for the study of fields of arbitrary spin in de Sitter, with applications to cosmological perturbation theory.
• The construction for spinors is shown in extensive detail.