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arXiv · 1309.6878

Maxwell group and HS field theory

Sergey Fedoruk·Jerzy Lukierski
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Abstract

We consider the master fields for HS multiplets defined on 10-dimensional tensorial extension \tilde{\cal M} of D=4 space-time described as a coset \tilde{\cal M}={\cal M}/Sl(2;C) of 16-parameter Maxwell group {\cal M}. The tensorial coordinates provide a geometrization of the coupling to constant uniform EM fields. We describe the spinorial model in extended space-time \tilde{\cal M} and by its first quantization we obtain new infinite HS-Maxwell multiplets with their massless components coupled to each other through constant EM background. We conclude our report by observing that three-dimensional spinorial model with a pair of spinors should provide after quantization D=3 massive HS-Maxwell multiplets.

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Sergey Fedoruk, Jerzy Lukierski. 2013-09-26. Maxwell group and HS field theory. https://doi.org/10.1088/1742-6596%2F474%2F1%2F012016

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