Maxwell group and HS field theory
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.
Cite
@article{arxiv.1309.6878,
title = {Maxwell group and HS field theory},
author = {Sergey Fedoruk and Jerzy Lukierski},
journal= {arXiv preprint arXiv:1309.6878},
year = {2015}
}
Comments
1+18 pages, submitted to XXI International Colloquium "Integrable Systems and Quantum Symmetries", Prague 12-16 June 2013, to be published in Journal of Physics: Conference Series