An action for matter coupled higher spin gravity in three dimensions
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Archivos
Fecha
2016-05
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
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Título del volumen
Editor
Springer Verlag
Nombre de Curso
Licencia CC
Atribution 4.0 International (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/deed.es
Resumen
We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev’s
matter coupled higher spin gravity in three dimensions. The action is formulated on X4×Z2
where X4 is an open manifold whose boundary contains spacetime and Z2 is a noncom mutative twistor space. We examine various consistent truncations to models of BF type
in X4 and Z2 with B2
terms and central elements. They are obtained by integrating out
the matter fields in the presence of a vacuum expectation value ν ∈ R for the zero-form
master field. For ν = 0, we obtain a model on X4 containing Blencowe’s action and a model
on Z2 containing the Prokushkin-Segal-Vasiliev action. For generic ν (including ν = 0),
we propose an alternative model on X4 with gauge fields in the Weyl algebra of Wigner’s
deformed oscillator algebra and Lagrange multipliers in the algebra of operators acting in
the Fock representation space of the deformed oscillators.
Notas
Indexación: Scopus.
Palabras clave
Higher Spin Gravity, Higher Spin Symmetry
Citación
Journal of High Energy Physics. Volume 2016, Issue 5. 1 May 2016. Article number 3
DOI
10.1007/JHEP05(2016)003