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

  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},
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… 
Heterotic complex structure moduli stabilization for elliptically fibered Calabi-Yau manifolds
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
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
Chern-Simons invariants and heterotic superpotentials
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
Moduli identification methods in Type II compactifications
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
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
Instanton superpotentials, Calabi-Yau geometry, and fibrations
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
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
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
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
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


Stabilizing the complex structure in heterotic Calabi-Yau vacua
In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compactifications can cause the stabilization of some, or all, of the complex structure moduli while maintaining a
The Atiyah class and complex structure stabilization in heterotic Calabi-Yau compactifications
Holomorphic gauge fields in N = 1 supersymmetri cheterotic compactifications can constrain the complex structure moduli of a Calabi-Yau manifold. In this paper, the tools necessary to use holomorphic
Stabilizing all geometric moduli in heterotic Calabi-Yau vacua
We propose a scenario to stabilize all geometric moduli - that is, the complex structure, Kahler moduli and the dilaton - in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz
Monad bundles in heterotic string compactifications
In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E8 × E8 heterotic string compactifications. We show that the class of such
Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions
The moduli space of multiply-connected Calabi-Yau threefolds is shown to contain codimension-one loci on which the corresponding variety develops a certain type of hyperquotient singularity. These
The Spectra of heterotic standard model vacua
A formalism for determining the massless spectrum of a class of realistic heterotic string vacua is presented. These vacua, which consist of SU(5) holomorphic bundles on torus-fibered Calabi-Yau
Heterotic Compactification, An Algorithmic Approach
We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in
Yukawa textures from heterotic stability walls
A holomorphic vector bundle on a Calabi-Yau threefold, X, with h1,1(X) ≥ 2 can have regions of its Kähler cone where it is slope-stable, that is, where the four-dimensional theory is $ \mathcal{N} =
Calabi‐Yau Manifolds: A Bestiary for Physicists
Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently, with trivial canonical bundle (canonical class). They are used to construct possibly realistic (super)string