Extensions of the Poincare group
Artikel i vetenskaplig tidskrift, 2011

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.


I. Antoniadis

European Organization for Nuclear Research

Lars Brink

Chalmers, Teknisk fysik, Elementarpartikelfysik

G. Savvidy

European Organization for Nuclear Research

Demokritos National Centre for Scientific Research

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 52 072303