CENTRA Seminar - Mass ladder operators from spacetime conformal symmetry - 7 dezembro 2016

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. It is shown that the ladder operators exist for any scalar field with the mass above the BF bound. We also discuss their applications, some phenomenon around extremal black holes whose near horizon geometry is AdS2.