Moduli Space of Torsional Manifolds

Abstract

We characterize the geometric moduli of non-Kaehler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be balanced, the gauge bundle be hermitian Yang-Mills, and also the anomaly cancellation be satisfied. We perform the linearized variation of these constraints to derive the defining equations for the local moduli. We explicitly determine the metric deformations of the smooth flux solution corresponding to a torus bundle over K3.

23 pages, harvmac; v2: typos corrected, minor clarifications, reference added

References in corpus (18)

• M Theory, Orientifolds and G-Flux
• Flux compactifications in string theory: a comprehensive review
• Toward Realistic Intersecting D-Brane Models
• G-Structures and Wrapped NS5-Branes
• An SU(5) Heterotic Standard Model
• A Heterotic Standard Model
• Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I
• Building the Standard Model on a D3-brane
• Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II
• Heterotic Strings with Torsion
• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Properties Of Heterotic Vacua From Superpotentials
• Irreducibility of moduli spaces of vector bundles on K3 surfaces
• Heterotic Flux Compactifications and Their Moduli
• Actions For (2,1) Sigma-Models and Strings
• Comments on Heterotic Flux Compactifications
• A Heterotic Flux Background and Calibrated Five-Branes
• Towards the Massless Spectrum of Non-Kahler Heterotic Compactifications

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• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• The Revival of (0,2) Linear Sigma Models
• DWSB in heterotic flux compactifications
• On marginal deformations of (0,2) non-linear sigma models
• The infinitesimal moduli space of heterotic $G_2$ systems
• The Heterotic Superpotential and Moduli
• Index Theorems on Torsional Geometries
• Heterotic compactifications on SU(2)-structure backgrounds
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Computing the Spectrum of a Heterotic Flux Vacuum
• Gauge theory for string algebroids
• Heterotic Quantum Cohomology
• A Note on Heterotic Dualities via M-theory
• Marginal deformations of heterotic $G_2$ sigma models
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• Heterotic Kahler/non-Kahler Transitions
• Eigenvalues and eigenforms on Calabi-Yau threefolds
• Generalized Cohomologies and Supersymmetry
• DWSB for heterotic flux compactifications