Emergence of Superstring from Pure Spinor

Abstract

Starting with a classical action where a pure spinor ${\lambda }^{\alpha }$ is only a fundamental and dynamical variable, the pure spinor formalism for superparticle and superstring is derived by following the BRST formalism. In this formalism, not only the string variable $x^m$ but also the space-time spinor ${\theta }^{\alpha }$ are emerged as the Faddeev-Popov (FP) ghosts of a topological symmetry and its reducible symmetry. This study suggests that the fundamental theory behind the pure spinor formalism of the superstring might be a topological field theory.

9 pages, some mistakes are corrected

References in corpus (4)

• ICTP Lectures on Covariant Quantization of the Superstring
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Y-Formalism and Curved Beta-Gamma Systems