Particle Physics as Representations of the Poincare Algebra
High Energy Physics - Theory
2007-05-23 v1
Abstract
Eugene Wigner showed already in 1939 that the elementary particles are related to the irreducible representations of the Poincare algebra. In the light-cone frame formulation of quantum field theory one can extend these representations to depend also on a coupling constant. The representations then become non-linear and contain the interaction terms which are shown to have strong uniqueness. Extending the algebra to supersymmetry it is shown that two field theories stick out, N=4 Yang-Mills and N=8 Supergravity and their higher dimensional analogues. I also discuss string theory from this starting point.
Keywords
Cite
@article{arxiv.hep-th/0503035,
title = {Particle Physics as Representations of the Poincare Algebra},
author = {Lars Brink},
journal= {arXiv preprint arXiv:hep-th/0503035},
year = {2007}
}
Comments
Lecture presented at the Poincare Symposium held in Brussels on October 8-9, 2004