Moduli Stabilising in Heterotic Nearly Kähler Compactifications

Abstract

We study heterotic string compactifications on nearly Kähler homogeneous spaces, including the gauge field effects which arise at order α'. Using Abelian gauge fields, we are able to solve the Bianchi identity and supersymmetry conditions to this order. The four-dimensional external space-time consists of a domain wall solution with moduli fields varying along the transverse direction. We find that the inclusion of α' corrections improves the moduli stabilization features of this solution. In this case, one of the dilaton and the volume modulus asymptotes to a constant value away from the domain wall. It is further shown that the inclusion of non-perturbative effects can stabilize the remaining modulus and "lift" the domain wall to an AdS vacuum. The coset SU(3)/U(1)^2 is used as an explicit example to demonstrate the validity of this AdS vacuum. Our results show that heterotic nearly Kähler compactifications can lead to maximally symmetric four-dimensional space-times at the non-perturbative level.

45 pages, LaTex, 3 pdf figures, References Added

References in corpus (11)

• Heterotic Line Bundle Standard Models
• Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua
• Stability Walls in Heterotic Theories
• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Heterotic string from a higher dimensional perspective
• Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory
• G-structures and Domain Walls in Heterotic Theories
• Heterotic domain wall solutions and SU(3) structure manifolds
• Comments on Heterotic Flux Compactifications
• Index Theorems on Torsional Geometries

Cited by in corpus (20)

• The Swampland: Introduction and Review
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• Connections, Field Redefinitions and Heterotic Supergravity
• Gaugino Condensation and the Cosmological Constant
• The infinitesimal moduli space of heterotic $G_2$ systems
• The Heterotic Superpotential and Moduli
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• Heterotic Supergravity with Internal Almost-Kähler Spaces, Instantons for $SO(32)$, or $E_8\times E_8$, Gauge Groups, and Deformed Black Holes with Soliton, Quasiperiodic and/or Pattern-forming Structures
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
• Superpotential of Three Dimensional $\mathcal{N}=1$ Heterotic Supergravity
• Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry
• Heterotic Calabi-Yau Compactifications with Flux
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Left-invariant Einstein metrics on $S^3\times S^3$
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• String gravitational equations with Hermitian structure
• Gravity and induced matter on Nearly Kahler Manifolds
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity