The Superparticle and the Lorentz Group

Details The Superparticle and the Lorentz Group The Superparticle and the Lorentz Group

1992-01-11

arxiv.org/abs/hep-th/9201020v1

Nucl.Phys.B368:248-280,1992

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1016/0550-3213(92)90527-I

We present a unified group-theoretical framework for superparticle theories. This explains the origin of the ``twistor-like'' variables that have been used in trading the superparticle's $\kappa$-symmetry for worldline supersymmetry. We show that these twistor-like variables naturally parametrise the coset space ${\cal G}/{\cal H}$, where $\cal G$ is the Lorentz group $SO^\uparrow(1,d-1)$ and $\cal H$ is its maximal subgroup. This space is a compact manifold, the sphere $S^{d-2}$. Our group-theoretical construction gives the proper covariantisation of a fixed light-cone frame and clarifies the relation between target-space and worldline supersymmetries.

Affiliated with

Also associated with

No associations

Rating

The Superparticle and the Lorentz Group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Superparticle and the Lorentz Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Superparticle and the Lorentz Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-5693