Biaxially symmetric solutions to 4D higher spin gravity

Abstract

We review some aspects of biaxially symmetric solutions to Vasiliev's\nequations in four dimensional spacetime with negative cosmological constant.\nThe solutions, which activate bosonic fields of all spins, are constructed\nusing gauge functions, projectors and deformed oscillators. The deformation\nparameters, which are formally gauge invariant, are related to generalized\nelectric and magnetic charges in asymptotic weak-field regions. Alternatively,\nthe solutions can be characterized in a dual fashion using zero-form charges\nwhich are higher-spin Casimir invariants built from combinations of curvatures\nand all their derivatives that are constant on shell and well-defined\neverywhere.\n