T-dual solutions of the Hull-Strominger system on non-Kähler threefolds

2018/10/10 by Garcia-Fernandez, Mario · 2 citations
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1810.04740

Abstract

We construct new examples of solutions of the Hull-Strominger system on non-Kähler torus bundles over K3 surfaces, with the property that the connection ∇ on the tangent bundle is Hermite-Yang-Mills. With this ansatz for the connection ∇, we show that the existence of solutions reduces to known results about moduli spaces of slope-stable sheaves on a K3 surface, combined with elementary analytical methods. We apply our construction to find the first examples of T-dual solutions of the Hull-Strominger system on compact non-Kähler manifolds with different topology.

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• Holomorphic supergravity in ten dimensions and anomaly cancellation
• Stringy Corrections to Heterotic SU(3)-Geometry

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