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Pure fermionic twistor like model & target space supersymmetry

R. Ahl Laamara·L. B Drissi·H. Jehjouh·E H Saidi
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Abstract

Using world line fermions $Υ_{\pm}^{m}=Υ_{\pm}^{m}(τ) $ valued in vector representation of $SO(d,4-d) $ with $d=2,3,4,$ we develop a pure fermionic analog of Penrose twistor construction. First, we show that Fermi antisymmetry requiring $(Υ_{\pm}^{m}) ^{2}=0$ can be solved by using twistor like variables. Then we study the corresponding dual twistor like field action and show that quantum spectrum exhibits naturally 4D $\mathcal{N}=1$ target space supersymmetry. Higher spin world line field solutions of the constraint $(Π_{s}^{m}) ^{2}=0$, $s\in \mathbb{Z}$ are also discussed.

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R. Ahl Laamara, L. B Drissi, H. Jehjouh, E H Saidi. 2006-05-17. Pure fermionic twistor like model & target space supersymmetry. https://arxiv.org/abs/hep-th/0605167

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