6533b86dfe1ef96bd12ca103

RESEARCH PRODUCT

Two-twistor particle models and free massive higher spin fields

José M. IzquierdoJ. A. De AzcárragaSergey FedorukSergey FedorukJerzy Lukierski

subject

High Energy Physics - TheoryBispinorPhysicsNuclear and High Energy PhysicsSpacetimeCoordinate vectorFOS: Physical sciencesMathematical Physics (math-ph)First quantizationSupersymmetryTwistor theoryAdS/CFT correspondenceQuantization (physics)Classical mechanicsHigh Energy Physics - Theory (hep-th)Mathematical PhysicsMathematical physics

description

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.

https://doi.org/10.1007/jhep04(2015)010