Abstract
We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We illustrate this result in the context of a simple classical action for a “superspinning particle” of superspin 1/2. We then use an Sl(2;K)-spinor formalism for K=ℝ,ℂ,ℍ to unify our 4D results with previous results for 3D and 6D.
| Original language | English (US) |
|---|---|
| Journal | Journal of High Energy Physics |
| Volume | 2017 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 1 2017 |
Fingerprint
Keywords
- Extended Supersymmetry
- Superspaces
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Pauli-Lubanski, supertwistors, and the superspinning particle. / Arvanitakis, Alex S.; Mezincescu, Alexandru; Townsend, Paul K.
In: Journal of High Energy Physics, Vol. 2017, No. 6, 01.06.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Pauli-Lubanski, supertwistors, and the superspinning particle
AU - Arvanitakis, Alex S.
AU - Mezincescu, Alexandru
AU - Townsend, Paul K.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We illustrate this result in the context of a simple classical action for a “superspinning particle” of superspin 1/2. We then use an Sl(2;K)-spinor formalism for K=ℝ,ℂ,ℍ to unify our 4D results with previous results for 3D and 6D.
AB - We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We illustrate this result in the context of a simple classical action for a “superspinning particle” of superspin 1/2. We then use an Sl(2;K)-spinor formalism for K=ℝ,ℂ,ℍ to unify our 4D results with previous results for 3D and 6D.
KW - Extended Supersymmetry
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=85021670101&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85021670101&partnerID=8YFLogxK
U2 - 10.1007/JHEP06(2017)151
DO - 10.1007/JHEP06(2017)151
M3 - Article
AN - SCOPUS:85021670101
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 6
ER -