Four Dimensional Gravitational Backgrounds Based on N=4 c=4 Superconformal Systems

TL;DR

This paper introduces two new realizations of N=4 superconformal systems based on parafermionic algebras, providing novel four-dimensional target space models with potential applications in stable superstring solutions.

Contribution

It presents novel realizations of N=4, c=4 superconformal systems using parafermionic algebras, expanding the landscape of superstring background models.

Findings

New realizations based on compact and non-compact parafermionic algebras.

Target spaces with unique metrics and topologies different from known models.

Potential for constructing perturbatively stable superstring solutions.

Abstract

We propose two new realizations of the N=4, $\hat{c}=4$ superconformal system based on the compact and non-compact versions of parafermionic algebras. The target space interpretation of these systems is given in terms of four-dimensional target spaces with non-trivial metric and topology different from the previously known four-dimensional semi-wormhole realization. The proposed $\hat{c}=4$ systems can be used as a building block to construct perturbatively stable superstring solutions with covariantized target space supersymmetry around non-trivial gravitational and dilaton backgrounds.