2015/12/31 by Roberto Bonezzi, Nicolas Boulanger, Ergin Sezgin +1 · 18 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Fock space #Hamiltonian (control theory) #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum mechanics #Spacetime #hep-th
paper · pdf · doi:10.1007/jhep05(2016)003
published in Journal of High Energy Physics 2016(5) (Springer Nature) · 33 + 1 pages, no figure. Minor typos corrected
arxiv created 2016/01/20 · openalex publication_date 2016/05/01 · arxiv updated 2016/05/25 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/06
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.