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A Construction of Non-Kähler Calabi-Yau Manifolds and New Solutions to the Strominger System
Published 1 Jul 2015 in math.DG, hep-th, math-ph, math.AG, math.CV, and math.MP | (1507.00293v2)
Abstract: We propose a new construction of compact non-K\"ahler Calabi-Yau manifolds with balanced metrics and study the Strominger system on them. In particular, we obtain explicit solutions to the Strominger system with degeneracies on $\Sigma_g\times T4$, where $\Sigma_g$ is an immersed minimal surface of genus $g\geq3$ in $T3$.
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