On the conformal higher spin unfolded equation for a threedimensional selfinteracting scalar field
Abstract
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 multicommutators. Explicit expressions for the source terms are suggested and subjected to some simple tests. We also discuss a cascading relation between the ChernSimons action for the higher spin gauge theory and an action containing a term for each spin that generalizes the spin 2 ChernSimons 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2016
 DOI:
 10.1007/JHEP08(2016)142
 arXiv:
 arXiv:1506.03328
 Bibcode:
 2016JHEP...08..142N
 Keywords:

 Higher Spin Symmetry;
 ChernSimons Theories;
 Conformal and W Symmetry;
 High Energy Physics  Theory
 EPrint:
 v2: 20 pages, misprints corrected, footnotes added