Pure spinors, twistors, and emergent supersymmetry

Details Pure spinors, twistors, and emergent supersymmetry Pure spinors, twistors, and emergent supersymmetry

2011-05-05

arxiv.org/abs/1105.1147v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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