Supertwistors, massive superparticles and k-symmetry

Abstract

We consider a D=4 two-twistor lagrangian for a massive particle that incorporates the mass-shell condition in an algebraic way, and extend it to a two-supertwistor model with N=2 supersymmetry and central charge identified with the mass. In the purely supertwistorial picture the two D=4 supertwistors are coupled through a Wess-Zumino term in their fermionic sector. We demonstrate how the kappa-gauge symmetry appears in the purely supertwistorial formulation and reduces by half the fermionic degrees of freedom of the two supertwistors; a formulation of the model in terms of kappa-invariant degrees of freedom is also obtained. We show that the kappa-invariant supertwistor coordinates can be obtained by dimensional (D=6 -> D=4) reduction from a D=6 supertwistor. We derive as well by 6 -> 4 reduction the N=2, D=4 massive superparticle model with Wess-Zumino term introduced in 1982. Finally, we comment on general superparticle models constructed with more than two supertwistors.

Shorter version, to appear in JHEP, with emphasis on the D=6 quaternionic structure

References in corpus (14)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Superparticle Models with Tensorial Central Charges
• Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates
• The geometry of branes and extended superspaces
• BPS states in M-theory and twistorial constituents
• Single twistor description of massless, massive, AdS, and other interacting particles
• Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics
• Superspace formulations of the (super)twistor string
• Massive relativistic particle model with spin from free two-twistor dynamics and its quantization
• Extension of the Shirafuji model for Massive Particles with Spin
• Supertwistor formulation for higher dimensional superstrings
• Spacetime scale-invariant super-p-brane actions on enlarged superspaces and the geometry of kappa-symmetry

Cited by in corpus (5)

• Anti-de Sitter particles and manifest (super)isometries
• Supertwistors and massive particles
• A no-go theorem for the $n$-twistor description of a massive particle
• Purely twistorial string with canonical twistor field quantization
• Inhomogeneous transformations in a gauged twistor formulation of a massive particle