Heterotic compactifications and nearly-Kahler manifolds

Abstract

We propose that under certain conditions heterotic string compactifications on half-flat and nearly-Kahler manifolds are equivalent. Based on this correspondence we argue that the moduli space of the nearly-Kahler manifolds under discussion consists only of the Kahler deformations moduli space and there is no correspondent for the complex structure deformations.

arXiv comment5 pages, references added, typos corrected

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Cited by in corpus (29)

• Nongeometric Flux Compactifications
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Lectures on Nongeometric Flux Compactifications
• Towards Minkowski Vacua in Type II String Compactifications
• D-branes in Nongeometric Backgrounds
• Supersymmetric compactifications of heterotic strings with fluxes and condensates
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• M-theory Compactifications on Manifolds with G2 Structure
• Nearly Kaehler Reduction
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• M-theory on seven-dimensional manifolds with SU(3) structure
• Low Energy Supersymmetry from Non-Geometry
• Reducing the Heterotic Supergravity on nearly-Kahler coset spaces
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• Supersymmetric AdS Backgrounds in String and M-theory
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• Geometric Transitions on non-Kaehler Manifolds
• Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
• On topological F-theory
• Aspects of moduli stabilisation in string and M-theory
• Left-invariant Einstein metrics on $S^3\times S^3$
• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
• Heterotic Strings on Generalized Calabi-Yau Manifolds and Kaehler Moduli Stabilization
• Gravity and induced matter on Nearly Kahler Manifolds
• Nearly-Kaehler dimensional reduction of the heterotic string