On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field
Autor: | Bengt E. W. Nilsson |
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Rok vydání: | 2016 |
Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Field (physics) 010308 nuclear & particles physics FOS: Physical sciences Conformal map 01 natural sciences Action (physics) High Energy Physics - Theory (hep-th) Simple (abstract algebra) 0103 physical sciences Condensed Matter::Strongly Correlated Electrons Spin connection Gauge theory 010306 general physics Scalar field Spin-½ Mathematical physics |
Zdroj: | Journal of High Energy Physics |
ISSN: | 1029-8479 |
DOI: | 10.1007/jhep08(2016)142 |
Popis: | 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. v2: 20 pages, misprints corrected, footnotes added |
Databáze: | OpenAIRE |
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