Particle Physics as Representations of the Poincare Algebra

Lars Brink

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arXiv · hep-th/0503035

Particle Physics as Representations of the Poincare Algebra

Lars Brink

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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.

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Lars Brink. 2005-03-04. Particle Physics as Representations of the Poincare Algebra. https://arxiv.org/abs/hep-th/0503035

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