Twistor origin of the superstring

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Processo FAPESP: 2009/50639-2

Processo FAPESP: 2011/11973-4

After introducing a d=10 pure spinor lambda(alpha), the Virasoro constraint partial derivative x(m)partial derivative x(m) = 0 can be replaced by the twistor-like constraint partial derivative 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.