New spinorial particle model in tensorial space-time and interacting higher spin fields

Abstract

The Maxwell-covariant particle model is formulated in tensorial extended D=4 space-time (x_mu, z_{mu nu}) parametrized by ten-dimensional coset of D=4 Maxwell group, with added auxiliary Weyl spinors lambda_alpha, y^alpha. We provide the Hamiltonian quantization of the model and demonstrate that first class constraints modify the known equations obtained for massless higher spin fields in flat tensorial space-time. We obtain the Maxwell-covariant field equations for new infinite dimensional spin multiplets. The component fields assigned to different spin values are linked by couplings proportional to rescaled electromagnetic coupling constant \tilde e = em, where m is the mass-like parameter introduced in our model. We discuss briefly the geometry of our tensorial space-time with constant torsion and its relation with the presence of constant electromagnetic background.

19 pages, LaTeX; v2:version which appears in JHEP

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• $D=4$ topological gravity from gauging the Maxwell-special-affine group
• Gauge Theory of Maxwell-Weyl Group
• Gauge theory of the Maxwell and semi-simple extended (anti) de Sitter algebra
• Symmetries of higher-spin current interactions in four dimensions
• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• Gauging the Maxwell extended $\mathcal{G}\mathcal{L}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
• Correlation Functions of Sp(2n) Invariant Higher-Spin Systems
• Cosmological application of the Maxwell gravity
• Maxwell-Modified Metric Affine Gravity