An action for matter coupled higher spin gravity in three dimensions

Roberto Bonezzi, Nicolas Boulanger, Ergin Sezgin, Per Sundell

Resultado de la investigación: Article

6 Citas (Scopus)

Resumen

Abstract: 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 noncommutative 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.

Idioma originalEnglish
Número de artículo3
PublicaciónJournal of High Energy Physics
Volumen2016
N.º5
DOI
EstadoPublished - 1 may 2016

Huella dactilar

gravitation
algebra
oscillators
Lagrange multipliers
multipliers
operators
vacuum
approximation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

Bonezzi, Roberto ; Boulanger, Nicolas ; Sezgin, Ergin ; Sundell, Per. / An action for matter coupled higher spin gravity in three dimensions. En: Journal of High Energy Physics. 2016 ; Vol. 2016, N.º 5.
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An action for matter coupled higher spin gravity in three dimensions. / Bonezzi, Roberto; Boulanger, Nicolas; Sezgin, Ergin; Sundell, Per.

En: Journal of High Energy Physics, Vol. 2016, N.º 5, 3, 01.05.2016.

Resultado de la investigación: Article

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AU - Bonezzi, Roberto

AU - Boulanger, Nicolas

AU - Sezgin, Ergin

AU - Sundell, Per

PY - 2016/5/1

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N2 - Abstract: 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 noncommutative 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.

AB - Abstract: 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 noncommutative 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.

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KW - Higher Spin Symmetry

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JO - Journal of High Energy Physics

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