Pure fermionic twistor like model & target space supersymmetry
نویسنده
چکیده
Using world line fermions Υ± = Υ 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± )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 N = 1 target space supersymmetry. Higher spin world line field solutions of the constraint (Πs ) 2 = 0, s ∈ Z are also discussed.
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