Lower-dimensional superstrings in the double-spinor formalism

TL;DR

This paper explores lower-dimensional superstrings within the double-spinor formalism, demonstrating their consistent quantization and equivalence to pure-spinor superstrings, and discusses their coupling to compactified degrees of freedom.

Contribution

It introduces a framework for lower-dimensional superstrings in the double-spinor formalism, establishing their quantization and relation to pure-spinor superstrings, and explores their coupling to N=2 superconformal fields.

Findings

Superstrings in the double-spinor formalism can be quantized consistently.

These superstrings are equivalent to lower-dimensional pure-spinor superstrings.

The physical spectrum of pure-spinor superstrings reflects noncriticality.

Abstract

We study lower-dimensional superstrings in the double-spinor formalism introduced by Aisaka and Kazama. These superstrings can be consistently quantized and are equivalent to the lower-dimensional pure-spinor superstrings proposed by Grassi and Wyllard. The unexpected physical spectrum of the pure-spinor superstrings may thus be regarded as a manifestation of noncriticality. We also discuss how to couple these covariant superstrings to the compactified degrees of freedom described by the N=2 superconformal field theory.