Twistor Origin of the Superstring

After introducing a d=10 pure spinor $λ^α$, the Virasoro constraint $\partial x^m \partial x_m =0$ can be replaced by the twistor-like constraint $\partial x^m (γ_m λ)_α=0$. 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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