Mass Ladder Operators from Spacetime Conformal Symmetry
Masashi Kimura (CENTRA-IST)
Abstract: We introduce a novel type of ladder operators, which map a scalar field with a mass into another scalar field with a different mass. It is shown that such operators are constructed from closed conformal Killing vector fields $zeta^mu$ in arbitrary dimensions if $zeta^mu$ is the eigen vector of the Ricci tensor. As an example, we explicitly construct the ladder operators in $AdS_2$. It is also shown that in $AdS_n$, the ladder operators exist for any scalar field with the mass above the BF bound. Furthermore, we discuss a relation between Aretakis constants and the ladder operators.