Abstract
After introducing a d=10 pure spinor λ α, the Virasoro constraint ∂x m ∂x m =0 can be replaced by the twistor-like constraint ∂x m(γ m λ) α = 0. Quantizing this twistor-like constraint leads to the pure spinor formalism for the superstring where the fermionic superspace variables θ α and their conjugate momenta come from the ghosts and antighosts of the twistor-like constraint.
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Berkovits, N. Twistor origin of the superstring. J. High Energ. Phys. 2015, 122 (2015). https://doi.org/10.1007/JHEP03(2015)122
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DOI: https://doi.org/10.1007/JHEP03(2015)122