Supertwistors, massive superparticles and k-symmetry
Aug, 2008
27 pages
Published in:
- JHEP 01 (2009) 041
e-Print:
- 0808.2155 [hep-th]
Report number:
- FTUV-08-IFIC-08
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Abstract: (arXiv)
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.- algebra: conformal
- sparticle
- Wess-Zumino term
- dimensional reduction
- Lagrangian formalism
- twistor
- supersymmetry: 2
- algebra: Poincare
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