Pure spinors, twistors, and emergent supersymmetry

Abstract

Starting with a classical action whose matter variables are a d=10 spacetime vector $x^m$ and a pure spinor ${\lambda }^{\alpha }$, the pure spinor formalism for the superstring is obtained by gauge-fixing the twistor-like constraint $\partial x^m({\gamma }_m\lambda {)}_{\alpha }=0$. The fermionic variables ${\theta }^{\alpha }$ are Faddeev-Popov ghosts coming from this gauge-fixing and replace the usual (b,c) ghosts coming from gauge-fixing the Virasoro constraint. After twisting the ghost-number such that ${\theta }^{\alpha }$ has ghost-number zero and ${\lambda }^{\alpha }$ has ghost-number one, the BRST cohomology describes the usual spacetime supersymmetric states of the superstring.

10 pages harvmac tex, added comments on small Hilbert space and U_0 dependence

References in corpus (1)

• Ten-Dimensional Super-Twistors and Super-Yang-Mills

Cited by in corpus (13)

• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Dynamical twisting and the b ghost in the pure spinor formalism
• On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background
• Towards the underlying gauge theory of the pure spinor superstring
• Relating the $b$ ghost and the vertex operators of the pure spinor superstring
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• Emergence of Superstring from Pure Spinor
• Quantum corrections to $Ad{S}_5\times S^5$ left-invariant superstring current algebra
• Twistor Origin of the Superstring
• Quantization of the particle with a linear massless solution
• Origin of the Pure Spinor and Green-Schwarz Formalisms
• The non-minimal type II pure spinor string in a curved background