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

References in corpus (29)

• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Introduction to the Classical Theory of Higher Spins
• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• Superparticle Models with Tensorial Central Charges
• Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Higher Spin Symmetry and N=4 SYM
• Frame-like gauge invariant formulation for massive high spin particles
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• On the mixed symmetry irreducible representations of the Poincare group in the BRST approach
• Elements of Vasiliev theory
• Description of the higher massless irreducible integer spins in the BRST approach
• Operator algebra of free conformal currents via twistors
• Higher-Spin Theory and Space-Time Metamorphoses
• Chiral fermions as classical massless spinning particles
• Relativity, Causality, Locality, Quantization and Duality in the $Sp(2M)$ Invariant Generalized Space-Time
• Anyons as spinning particles
• Scalar Field in Any Dimension from the Higher Spin Gauge Theory Perspective
• Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics
• Multiparticle extension of the higher-spin algebra
• New Unfolded Higher Spin Systems in $Ad{S}_3$
• Massive twistor particle with spin generated by Souriau-Wess-Zumino term and its quantization
• Massive relativistic particle model with spin from free two-twistor dynamics and its quantization
• Bitwistor formulation of massive spinning particle
• Master Higher-Spin Particle
• Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
• Unfolded Equations for Current Interactions of 4d Massless Fields as a Free System in Mixed Dimensions
• Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time
• Bitwistor Formulation Of The Spinning Particle

Cited by in corpus (3)

• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
• Twistor formulation of massless $6D$ infinite spin fields