Pure spinor computation towards open string three-loop

Four-point One-loop Amplitude Computation in the Pure Spinor Formalism

The massless 4-point one-loop amplitude computation in the pure spinor formalism is shown to agree with the computation in the RNS formalism.

Towards Pure Spinor Type Covariant Description of Supermembrane

In a previous work, we have constructed a reparametrization invariant worldsheet action from which one can derive the super-Poincaré covariant pure spinor formalism for the superstring at the fully quantum level. The main idea was the doubling of the spinor degrees of freedom in the Green-Schwarz formulation together with the introduction of a new compensating local fermionic symmetry. In this ...

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.