On the conformal higher spin unfolded equation for a three-dimensional self-interacting 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 multi-commutators. Explicit expressions for the source terms are suggested and subjected to some simple tests. We also discuss a cascading relation between the Chern-Simons 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.
Keywords
Cite
@article{arxiv.1506.03328,
title = {On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field},
author = {Bengt E. W. Nilsson},
journal= {arXiv preprint arXiv:1506.03328},
year = {2016}
}
Comments
v2: 20 pages, misprints corrected, footnotes added