Extensions of the Poincare group

Details Extensions of the Poincare group Extensions of the Poincare group

2011-03-12

arxiv.org/abs/1103.2456v1

J. Math. Phys. 52 (2011) 072303

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex file

Scientific paper

10.1063/1.3607971

We construct an extension of the Poincare group which involves a mixture of internal and space-time supersymmetries. The resulting group is an extension of the superPoincare group with infinitely many generators which carry internal and space-time indices. It is a closed algebra since all Jacobi identities are satisfied and it has therefore explicit matrix representations. We investigate the massless case and construct the irreducible representations of the extended symmetry. They are divided into two sets, longitudinal and transversal representations. The transversal representations involve an infinite series of integer and half-integer helicities. Finally we suggest an extension of the conformal group along the same line.

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