Canonical pure spinor (fermionic) T-duality

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...

On Fermionic T-duality of Sigma modes on AdS backgrounds

We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma models on AdS backgrounds. We show that the sigma model on AdS5 × S1 background is self-dual under fermionic T-duality. We also construct new integrable sigma models on AdS2 ×CPn. These backgrounds could be realized as supercosets of SU supergroups for arbitrary n, but could also be realized as supercosets of OSp superg...

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.

Origin of Pure Spinor Superstring

The pure spinor formalism for the superstring, initiated by N. Berkovits, is derived at the fully quantum level starting from a fundamental reparametrization invariant and super-Poincaré invariant worldsheet action. It is a simple extension of the Green-Schwarz action with doubled spinor degrees of freedom with a compensating local supersymmetry on top of the conventional κ-symmetry. Equivalenc...