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On the conformal higher spin unfolding equation for a three-dimensional self-interacting scalar field | | Bengt E.W. Nilsson
; | | Date: |
10 Jun 2015 | | 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 unfolding 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. | | Source: | arXiv, 1506.3328 | | Services: | Forum | Review | PDF | Favorites | |
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