Twistor Origin of the Superstring

Abstract

After introducing a d=10 pure spinor ${\lambda }^{\alpha }$, the Virasoro constraint $\partial x^m\partial x_m=0$ can be replaced by the twistor-like constraint $\partial x^m({\gamma }_m\lambda {)}_{\alpha }=0$. Quantizing this twistor-like constraint leads to the pure spinor formalism for the superstring where the fermionic superspace variables ${\theta }^{\alpha }$ and their conjugate momenta come from the ghosts and antighosts of the twistor-like constraint.

Fixed typos and added references

References in corpus (1)

• Explaining the Pure Spinor Formalism for the Superstring

Cited by in corpus (1)

• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology