Generation of the bosonic string theory solutions from the stationary Einstein fields via projection symmetry

TL;DR

This paper develops a new formalism to generate solutions in low-energy bosonic string theory from stationary Einstein fields, establishing a projection-based correspondence between theories in different dimensions, and applies it to derive a string theory extension of the Kerr-NUT solution.

Contribution

It introduces a novel solution-generating formalism for bosonic string theory using projection symmetry from Einstein fields, bridging theories across dimensions.

Findings

Generated bosonic string solutions from Einstein-dilaton gravity.

Extended Kerr-NUT solution with charged dilaton field in string theory.

Established a correspondence between compactified theories via projection symmetry.

Abstract

A new formalism for generation of solutions in the consistently truncated low-energy bosonic string theory is developed. This formalism gives a correspondence of the projection type between the theories toroidally compactified from the diverse to three dimensions. Taking the stationary Einstein-dilaton gravity as the theory with a lower dimension, we generate its bosonic string theory extension and calculate the bosonic string theory solution corresponding to the Kerr-NUT one modified by the presence of the charged dilaton field.