On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field

Bengt E.W. Nilsson
2016 Journal of High Energy Physics  
We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source terms and are based on a conformal higher spin algebra which we treat as an expansion in multi-commutators. Explicit expressions for the source terms are suggested and subjected to some simple tests. We also discuss a cascading relation between the
more » ... action for the higher spin gauge theory and an action containing a term for each spin that generalizes the spin 2 Chern-Simons action in terms of the spin connection expressed in terms of the frame field. This cascading property is demonstrated in the free theory for spin 3 but should work also in the complete higher spin theory.
doi:10.1007/jhep08(2016)142 fatcat:kjqxy4xwcvhvlpaef4tfpnh7om