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

Bengt E. W. Nilsson (Institutionen för fysik, Teoretisk fysik (Chalmers))
Journal of High Energy Physics (1029-8479). Vol. 2016 (2016), 8, p. 142.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Chern-Simons Theories; Conformal and W Symmetry; Higher Spin Symmetry



Denna post skapades 2016-12-19. Senast ändrad 2017-02-08.
CPL Pubid: 246274

 

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Institutioner (Chalmers)

Institutionen för fysik, Teoretisk fysik (Chalmers)

Ämnesområden

Fysik
Elementarpartikelfysik

Chalmers infrastruktur