Physical symmetry groups and associated bundles in field theory (Q1088160)

The author presents a geometrical and spinor approach to a paper of \textit{J. Rzewuski} [J. Math. Phys. 25, 216-2139 (1984)] which deals with the invariant submanifolds of the linear representation space \({\mathbb{C}}^{4m}\) and the physical symmetry group SU(2,2)\(\times SU(m)\) and its subgroup \({\mathbb{P}}\times SU(m)\). This study involves using homogeneous spaces, and examples of various orbits are given using spinors. The paper concludes with a brief discussion of physical consequences of his results.