Heterotic fluxes and supersymmetry

Abstract

We show that the formal alpha' expansion for heterotic flux vacua is only sensible when flux quantization and the appearance of string scale cycles in the geometry are carefully taken into account. We summarize a number of properties of solutions with N=1 and N=2 space-time supersymmetry.

arXiv comment21 pages

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• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Heterotic Quantum Cohomology
• Domain Walls, Triples and Acceleration
• Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry
• The Abelian Heterotic Conifold
• The Heterotic-Ricci flow and its three-dimensional solitons
• Conformal Invariance of (0,2) Sigma Models on Calabi-Yau Manifolds
• New supersymmetric index of heterotic compactifications with torsion
• Non-duality in three dimensions
• Calabi-Yau generalized complete intersections and aspects of cohomology of sheaves
• Higher dimensional generalizations of twistor spaces
• Balanced and Aeppli Parameters for the Heterotic Moduli