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.

37 pages, plain latex, v2. Text in Secs. 1 nd 4 enlarged, references added. Version to appear in JHEP

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Cited by in corpus (1)

• Wigner-Souriau translations and Lorentz symmetry of chiral fermions