Abstract
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 ∇ {\nabla} on the tangent bundle is Hermite–Yang–Mills. With this ansatz for the connection ∇ {\nabla} , 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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