The 10-D chiral null model and the relation to 4-D string solutions

TL;DR

This paper explores the 10-dimensional chiral null model, a conformally invariant string background with supersymmetry, and its reduction to 4 dimensions, relating it to known black hole and gravitational solutions.

Contribution

It provides a detailed Kaluza-Klein reduction of the chiral null model to 4D, connecting it to various known solutions and analyzing its properties.

Findings

The model is conformally invariant in all orders of α'

It maintains unbroken supersymmetry

It relates to IWP, Taub-NUT, and rotating black hole solutions

Abstract

The chiral null model is a generalization of the fundamental string and gravitational wave background. It is an example of a conformally invariant model in all orders in $\alpha'$ and has unbroken supersymmetries. In a Kaluza--Klein approach we start in 10 dimensions and reduce the model down to 4 dimensions without making any restrictions. The 4-D field content is given by the metric, torsion, dilaton, a moduli field and 6 gauge fields. This model is self-dual and near the singularities asymptotically free. The relation to known IWP, Taub-NUT and rotating black hole solutions is discussed.