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An action for matter coupled higher spin gravity in three dimensions
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نویسنده
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Bonezzi Roberto ,Boulanger Nicolas ,Sezgin Ergin ,Sundell Per
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منبع
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journal of high energy physics - 2016 - دوره : 2016 - شماره : 5 - صفحه:1 -27
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چکیده
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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 $$ {mathcal{x}}_4times {mathcal{z}}_2 $$ where $$ {mathcal{x}}_4 $$ is an open manifold whose boundary contains spacetime and $$ {mathcal{z}}_2 $$ is a noncommutative twistor space. we examine various consistent truncations to models of bf type in $$ {mathcal{x}}_4 $$ and $$ {mathcal{z}}_2 $$ with b2 terms and central elements. they are obtained by integrating out the matter fields in the presence of a vacuum expectation value ν ∈ $$ mathrm{mathbb{r}} $$ for the zero-form master field. for ν = 0, we obtain a model on $$ {mathcal{x}}_4 $$ containing blencowe’s action and a model on $$ {mathcal{z}}_2 $$ containing the prokushkin-segal-vasiliev action. for generic ν (including ν = 0), we propose an alternative model on $$ {mathcal{x}}_4 $$ 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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کلیدواژه
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Higher Spin Gravity ,Higher Spin Symmetry
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آدرس
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Université de Mons — UMONS, Belgium, Université de Mons — UMONS, Belgium, Texas A&M University, USA, Universidad Andres Bello, Departamento de Ciencias Físicas, Chile
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Authors
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