Biaxially symmetric solutions to 4D higher-spin gravity

Understand

We review some aspects of biaxially symmetric solutions to Vasiliev's equations in four dimensional spacetime with negative cosmological constant.

• The solutions, which activate bosonic fields of all spins, are constructed using gauge functions, projectors and deformed oscillators.
• The deformation parameters, which are formally gauge invariant, are related to generalized electric and magnetic charges in asymptotic weak-field regions.
• Alternatively, the solutions can be characterized in a dual fashion using zero-form charges which are higher-spin Casimir invariants built from combinations of curvatures and all their derivatives that are constant on shell and well-defined everywhere.