An Implicit Decoupling for the Dilatons and the Axions of the Heterotic String

TL;DR

This paper derives consistency conditions for the massless sector of heterotic string theory, revealing an implicit decoupling between scalar fields (dilatons and axions) and gauge fields, enhancing understanding of string compactifications.

Contribution

It formulates explicit consistency conditions in terms of dilatons and axions under the solvable Lie algebra gauge, showing an implicit decoupling in the heterotic string's massless sector.

Findings

Consistency conditions are derived for the heterotic string's massless sector.

An implicit decoupling between scalar fields and gauge fields is demonstrated.

Conditions are explicitly formulated in the solvable Lie algebra gauge.

Abstract

A set of consistency conditions is derived for the massless sector of the D-dimensional E(8)xE(8) heterotic string. Under the solvable Lie algebra gauge these conditions are further formulated explicitly in terms of the dilatons and the axions. It is then shown that these consistency conditions which are satisfied by the solution space give way to an implicit decoupling between the coset scalar sector namely the dilatons and the axions and the gauge fields of the theory.