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arXiv · 1210.1506

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

Sergey Fedoruk·Jerzy Lukierski
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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.

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Sergey Fedoruk, Jerzy Lukierski. 2013-02-23. New spinorial particle model in tensorial space-time and interacting higher spin fields. https://doi.org/10.1007/jhep02(2013)128

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