Twistors and the massive spinning particle
High Energy Physics - Theory
2016-01-20 v3 Mathematical Physics
math.MP
Abstract
Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6. The twistor action is manifestly Lorentz invariant but the anticommuting spin variables appear exactly as in the non-relativistic limit. This allows a simple confirmation that the quantum N=2 spinning particle has either spin one or spin zero, and that N>2 is quantum inconsistent for D=4,6.
Cite
@article{arxiv.1508.05350,
title = {Twistors and the massive spinning particle},
author = {Luca Mezincescu and Alasdair J. Routh and Paul K. Townsend},
journal= {arXiv preprint arXiv:1508.05350},
year = {2016}
}
Comments
21 pages. Revised to correct minor errors, and to add subsection on massless limit. Equation numbering problem corrected in v.3