GS formalism

{{Short description|Superstring quantization approach}}

{{string theory}}

Green–Schwarz (GS) formalism (named after Michael Green and John H. Schwarz)M. B. Green, J. H. Schwarz, J. H., "Supersymmetrical Dual String Theory," Nucl. Phys. B181 (1981), 502–530.M. B. Green, J. H. Schwarz, J. H., "Supersymmetrical Dual String Theory (II): Vertices and Trees," Nucl. Phys. B198 (1982), 252–268.M. B. Green, J. H. Schwarz, J. H., "Supersymmetrical Dual String Theory (III): Loops and Renormalization," Nucl. Phys. B198 (1982), 441–460. is an attempt to introduce fermions in string theory. The theory is equivalent to RNS formalism which has been GSO projected. This theory is very hard to quantize, being straightforward to quantize only in light cone gauge.Green, Michael B., and John H. Schwarz. "Covariant description of superstrings." Dynamical Groups and Spectrum Generating Algebras: (In 2 Volumes). 1988. 885-888. A covariant quantization of spinning string, maintaining space-time supersymmetry manifest, is possible in a formalism inspired on the GS formalism, known as pure spinor formalism.N. Bekovits, "Super-Poincaré covariant quantization of the superstring." Journal of High Energy Physics 2000.04 (2000): 018.