Computing the Spectrum of a Heterotic Flux Vacuum

TL;DR

This paper computes the massless spectra of heterotic string flux vacua, including non-Kahler T^2-fibrations over K3, using gauged linear sigma models and Landau-Ginzburg orbifold techniques, providing detailed examples with N=2 supersymmetry.

Contribution

It introduces a method to compute spectra of heterotic flux vacua via gauged linear sigma models and LG-orbifold techniques, extending previous approaches.

Findings

Computed spectra for several four- and six-dimensional vacua.

Analyzed non-Kahler T^2-fibrations over K3 with SU(3) structure.

Provided detailed examples with N=2 supersymmetry.

Abstract

We compute the massless spectra of a set of flux vacua of the heterotic string. The vacua we study include well-known non-Kahler T^2-fibrations over K3 with SU(3) structure and intrinsic torsion. Following gauged linear sigma models of these vacua into phases governed by asymmetric Landau-Ginzburg orbifolds allows us to compute the spectrum using generalizations of familiar LG-orbifold techniques. We study several four- and six-dimensional examples with N=2 spacetime supersymmetry in detail.