Lower-dimensional pure-spinor superstrings

TL;DR

This paper explores the generalization of Berkovits' pure-spinor superstring construction from ten dimensions to lower dimensions, proposing models in four, six, two, and three dimensions.

Contribution

It introduces new pure-spinor superstring models in lower dimensions, extending the original ten-dimensional framework.

Findings

Proposed pure-spinor models in d=4 and d=6 dimensions.

Brief discussion of models in d=2 and d=3.

Foundations for lower-dimensional superstring theories.

Abstract

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 pure-spinor superstring in these dimensions. Similar models in d=2,3 are also briefly discussed.