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Explaining Pure Spinor Superspace

Nathan Berkovits

hep-tharXiv:hep-th/0612021

Abstract

In the pure spinor formalism for the superstring and supermembrane, supersymmetric invariants are constructed by integrating over five θ's in d=10 and over nine θ's in d=11. This pure spinor superspace is easily explained using the superform (or ''ectoplasm'') method developed by Gates and collaborators, and generalizes the standard chiral superspace in d=4. The ectoplasm method is also useful for constructing d=10 and d=11 supersymmetric invariants in curved supergravity backgrounds.

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