CORRELATION FUNCTIONS IN BERKOVITS' PURE SPINOR FORMULATION

Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring Nathan Berkovits

A ten-dimensional super-Poincaré covariant formalism for the superstring was recently developed which involves a BRST operator constructed from superspace matter variables and a pure spinor ghost variable. A super-Poincaré covariant prescription was defined for computing tree amplitudes and was shown to coincide with the standard RNS prescription. In this paper, picture-changing operators are u...

The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings

We show that the pure spinor formalism proposed by Berkovits to covariantly quantize superstrings is a gauge fixed, twisted version of the complexified n = 2 superembedding formulation of the superstring. This provides the Berkovits approach with a geometrical superdiffeomorphism invariant ground. As a consequence, the absence of the worldsheet (super)diffeomorphism ghosts in the pure spinor qu...

Pure Spinor Superstring

Explaining Pure Spinor Superspace

In the pure spinor formalism for the superstring and supermembrane, supersymmet-ric 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 " ecto-plasm ") method developed by Gates and collaborators, and generalizes the standard chiral superspace in d=4. The ectoplasm method is also usefu...

Lower-dimensional pure-spinor superstrings

We study to what extent it is possible to generalise Berkovits’ pure-spinor construction in d=10 to lower dimensions. Using a suitable definition of a “pure” spinor in d = 4, 6, we propose models analogous to the d = 10 purespinor superstring in these dimensions. Similar models in d = 2, 3 are also briefly discussed.