Spinning fields on S${}^d$ and dS${}_d$, UIRs and Ladder operators

Vasileios A. Letsios, Matías N. Sempé, Guillermo A. Silva

We construct, for spin $0,1,2$ tensor fields on S${}^d$, a set of ladder operators that connect the distinct UIRs of SO$(d+1)$. This is achieved by relying on the conformal Killing v…