Particle Physics as Representations of the Poincare Algebra

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.

arXiv commentLecture presented at the Poincare Symposium held in Brussels on October 8-9, 2004

References in corpus (1)

• Oxidizing SuperYang-Mills from (N=4,d=4) to (N=1,d=10)

Cited by in corpus (6)

• Nonlinear higher spin theories in various dimensions
• Light-Front Bootstrap for Chern-Simons Matter Theories
• More on Quantum Chiral Higher Spin Gravity
• Non-Abelian tensor gauge fields: generalization of Yang-Mills theory
• Non-Abelian Tensor Gauge Fields. Enhanced Symmetries
• Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory