Heterotic strings on homogeneous spaces

TL;DR

This paper constructs exact heterotic string backgrounds on homogeneous spaces using conformal field theory, providing new models with fluxes and supersymmetry, including explicit examples and partition functions.

Contribution

It introduces a general formalism for heterotic strings on homogeneous spaces and constructs new supersymmetric vacua with fluxes and linear dilaton profiles.

Findings

Explicit conformal field theory models for homogeneous space backgrounds

New supersymmetric string vacua with magnetic fluxes

Partition functions for these backgrounds

Abstract

We construct heterotic string backgrounds corresponding to families of homogeneous spaces as exact conformal field theories. They contain left cosets of compact groups by their maximal tori supported by NS-NS 2-forms and gauge field fluxes. We give the general formalism and modular-invariant partition functions, then we consider some examples such as SU(2)/U(1) ~ S^2 (already described in a previous paper) and the SU(3)/U(1)^2 flag space. As an application we construct new supersymmetric string vacua with magnetic fluxes and a linear dilaton.