Origin of the pure spinor and Green-Schwarz formalisms

Autor(es)

Berkovits, Nathan

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 7, p. 20-pg., 2015-07-20.

Resumo

The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint a,x (m) (gamma (m) lambda) (alpha) = 0 where lambda (alpha) is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint a,x (m) a,x (m) = 0, and the Green-Schwarz fermionic spacetime spinor variables theta (alpha) arise as Faddeev-Popov ghosts for this constraint. In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor lambda (alpha) with a d=10 projective pure spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes , this action can be interpreted as a standard A parts per thousand = 5 topological action where one integrates over the choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon double-dimensional reduction to the purely bosonic action for the d=10 Type IIA superstring. (AU)

• Processo FAPESP: 11/11973-4 - ICTP Instituto Sul-Americano para Pesquisa Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 09/50639-2 - Pesquisa e ensino em teoria de cordas
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Temático