Nonabelian N=2 Superstrings

TL;DR

This paper constructs new nonabelian N=2 superstring models using WZW sigma models on supergroups, demonstrating their integrability and, in some cases, fermionic kappa-symmetry, thus advancing superstring theory frameworks.

Contribution

It generalizes the Green-Schwarz N=2 superstring to nonabelian supergroup manifolds, introducing integrable models with potential kappa-symmetry.

Findings

Models are completely integrable.

Some models possess fermionic kappa-symmetry.

Extension of superstring actions to nonabelian supergroups.

Abstract

The Green-Schwarz covariant N=2 superstring action can be consistently deduced as the action of the Wess-Zumino-Witten (WZW) sigma model defined on the direct product of two N=1, D=10 Poincar\'e supertranslation groups. Generalizing this result, we construct new WZW sigma models on the supergroups with a nonabelian even part and interpret them as models of superstrings moving on the supergroup manifolds. We show that these models are completely integrable and in some special cases possess fermionic kappa-symmetry.