An action for matter coupled higher spin gravity in three dimensions

作者：Bonezzi Roberto^*; Boulanger Nicolas; Sezgin Ergin; Sundell Per

来源：The Journal of High Energy Physics, 2016, 2016(5): 003.

DOI：10.1007/JHEP05(2016)003

• Higher Spin Gravity
• Higher Spin Symmetry

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 X-4 x Z(2) where X-4 is an open manifold whose boundary contains spacetime and Z(2) is a noncommutative twistor space. We examine various consistent truncations to models of BF type in X-4 and Z(2) with B-2 terms and central elements. They are obtained by integrating out the matter fields in the presence of a vacuum expectation value nu is an element of R for the zero-form master field. For nu = 0, we obtain a model on X-4 containing Blencowe's action and a model on Z(2) containing the Prokushkin-Segal-Vasiliev action. For generic nu (including nu = 0), we propose an alternative model on 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.

• 出版日期2016-5-2