Massless finite and infinite spin representations of Poincar\'{e} group in six dimensions
High Energy Physics - Theory
2021-01-13 v3 Mathematical Physics
math.MP
Abstract
We study the massless irreducible representations of the Poincar\'{e} group in the six-dimensional Minkowski space. The Casimir operators are constructed and their eigenvalues are found. It is shown that the finite spin (helicity) representation is defined by two integer or half-integer numbers while the infinite spin representation is defined by the real parameter and one integer or half-integer number.
Keywords
Cite
@article{arxiv.2011.14725,
title = {Massless finite and infinite spin representations of Poincar\'{e} group in six dimensions},
author = {I. L. Buchbinder and S. A. Fedoruk and A. P. Isaev and M. A. Podoinitsyn},
journal= {arXiv preprint arXiv:2011.14725},
year = {2021}
}
Comments
v3: 1+15 pages, minor revision, published version