Two-twistor particle models and free massive higher spin fields
Abstract
We present D=3 and D=4 models for massive particles moving in a new type of enlarged spacetime, with D-1 additional vector coordinates, which after quantization lead to the towers of massive higher spin (HS) free fields. Two classically equivalent formulations are presented: one with a hybrid spacetime/bispinor geometry and a second described by a free two-twistor dynamics with constraints. After quantization in the D=3 and D=4 cases, the wave functions are given as functions on the SL(2,R) and SL(2,C) group manifolds respectively, and describe arbitrary on-shell momenta and spin degrees of freedom. Finally, the D=6 case and possible supersymmetric extensions are mentioned.
Cite
@article{arxiv.1409.7169,
title = {Two-twistor particle models and free massive higher spin fields},
author = {J. A. de Azcarraga and S. Fedoruk and J. M. Izquierdo and J. Lukierski},
journal= {arXiv preprint arXiv:1409.7169},
year = {2015}
}
Comments
37 pages, plain latex, v2. Text in Secs. 1 nd 4 enlarged, references added. Version to appear in JHEP