Mass Ladder Operators from Spacetime Conformal Symmetry
Presenting author: Masashi Kimura
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 $. It is also shown that in $, 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.