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Extensions of the Poincare group

I. Antoniadis ; Lars Brink (Institutionen för fundamental fysik, Elementarpartikelfysik) ; G. Savvidy
Journal of Mathematical Physics (0022-2488). Vol. 52 (2011), 7,
[Artikel, refereegranskad vetenskaplig]

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.



Denna post skapades 2011-09-15. Senast ändrad 2015-07-08.
CPL Pubid: 146227

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik, Elementarpartikelfysik (2005-2013)

Ämnesområden

Fysik

Chalmers infrastruktur