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.

arXiv comment9 pages, some mistakes are corrected

References in corpus (13)

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Cited by in corpus (2)

• On Projections to the Pure Spinor Space
• A Projection to the Pure Spinor Space