nLab
unitary representation of the super Poincaré group

Context

Super-Geometry

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

Idea

The analog of unitary representation of the Poincaré group for the super Poincaré group: supersymmetry.

An irreducible representation of the super Poincaré Lie algebra is called super multiplet. It is in general itself a super vector space which contains an ordinary irreducible unitary representation of the Poincaré group – which may be identified with a bosonic relativistic particle of some mass – together with the images of these “bosonic” elements under the odd generators: the superpartners of the bosonic particles.

References

Reviews and lecture notes include

The classification is due to

  • Werner Nahm, Supersymmetries and their representations, Nucl. Phys. B135 (1978) 149

The analogous discussion generalized to parasupersymmetry? is in

  • A. Nikitin, V. Tretynyk, Irreducible representations of the Poincaré parasuperalgebra (pdf)

Expositional slides:

  • Valerie Domcke, Supermultiplets (pdf) (in German)

Revised on September 12, 2013 00:29:08 by Urs Schreiber (145.116.131.249)