# Vacuum varieties, holomorphic bundles and complex structure stabilization in heterotic theories

@article{Anderson2013VacuumVH, title={Vacuum varieties, holomorphic bundles and complex structure stabilization in heterotic theories}, author={Lara B. Anderson and James Richard Andrew Gray and Andr{\'e} Lukas and Burt A. Ovrut}, journal={Journal of High Energy Physics}, year={2013}, volume={2013}, pages={1-47} }

A bstractWe discuss the use of gauge fields to stabilize complex structure moduli in Calabi-Yau three-fold compactifications of heterotic string and M-theory. The requirement that the gauge fields in such models preserve supersymmetry leads to a complicated landscape of vacua in complex structure moduli space. We develop methods to systematically map out this multi-branched vacuum space, in a computable and explicit manner. In analysing the resulting vacua, it is found that the associated…

## 33 Citations

Heterotic complex structure moduli stabilization for elliptically fibered Calabi-Yau manifolds

- Mathematics
- 2020

Holomorphicity of vector bundles can stabilize complex structure moduli of a Calabi-Yau threefold in N = 1 supersymmetric heterotic compactifications. In principle, the Atiyah class determines the…

Jumping spectra and vanishing couplings in heterotic Line Bundle Standard Models

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We study two aspects of the physics of heterotic Line Bundle Standard Models on smooth Calabi-Yau threefolds. First, we investigate to what degree modern moduli stabilization scenarios…

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- Mathematics
- 2020

The superpotential in four-dimensional heterotic effective theories contains terms arising from holomorphic Chern-Simons invariants associated to the gauge and tangent bundles of the compactification…

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- MathematicsJournal of High Energy Physics
- 2018

A bstractRecent work on four dimensional effective descriptions of the heterotic string has identified the moduli of such systems as being given by kernels of maps between ordinary Dolbeault…

The heterotic superpotential and moduli

- Mathematics
- 2015

A bstractWe study the four-dimensional effective theory arising from ten-dimensional heterotic supergravity compactified on manifolds with torsion. In particular, given the heterotic superpotential…

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- Mathematics
- 2016

In this paper we explore contributions to non-perturbative superpotentials arising from instantons wrapping effective divisors in smooth Calabi-Yau four-folds. We concentrate on the case of manifolds…

The moduli space of heterotic line bundle models: a case study for the tetra-quadric

- Mathematics
- 2014

A bstractIt has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers of…

Heterotic moduli stabilisation

- Physics
- 2013

A bstractWe perform a systematic analysis of moduli stabilisation for weakly coupled heterotic string theory compactified on internal manifolds which are smooth Calabi-Yau three-folds up to α′…

Algebroids, heterotic moduli spaces and the Strominger system

- Mathematics
- 2014

A bstractIn this paper we study compactifications of heterotic string theory on manifolds satisfying the ∂∂¯$$ \partial \overline{\partial} $$-lemma. We consider the Strominger system description of…

Geometric constraints in dual F-theory and heterotic string compactifications

- Mathematics
- 2014

A bstractWe systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the…

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