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.

中文翻译：

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非Kähler上Hull–Strominger系统的T对偶解

我们在K3曲面上的非Kähler圆环束上构造了Hull–Strominger系统解决方案的新示例，其性质是 $\nabla$切线束上的是Hermite-Yang-Mills。借助此ansatz进行连接$\nabla$，我们证明了解决方案的存在降低了与基本分析方法相结合的关于K3曲面上斜稳定滑轮的模空间的已知结果。我们应用我们的构造来找到具有不同拓扑的紧凑型非Kähler流形上的Hull–Strominger系统T对偶解的第一个示例。