A Note on Fluxes in Six-Dimensional String Theory Backgrounds

TL;DR

This paper investigates warped compactifications of type IIB string theory to six dimensions, revealing that the internal four-manifold is conformal to a Kahler manifold, differing from heterotic string theory where it must be Calabi-Yau.

Contribution

It demonstrates that the internal four-manifold in type IIB compactifications is conformal to a Kahler manifold, expanding understanding of possible geometries in string compactifications.

Findings

Internal four-manifold is conformal to Kahler

Contrasts with heterotic case where manifold is Calabi-Yau

Provides new insights into six-dimensional string backgrounds

Abstract

We study the structure of warped compactifications of type IIB string theory to six space-time dimensions. We find that the most general four-manifold describing the internal dimensions is conformal to a Kahler manifold, in contrast with the heterotic case where the four-manifold must be conformally Calabi-Yau.