Hull-Strominger方程组的T-对偶解
T-dual solutions of the Hull-Strominger system on non-Kähler threefolds
摘要：
我们构造了K3曲面上非Kähler环面丛上Hull-Strominger系统解的新例子，并证明了切丛上的联络$\nabla$是Hermite-Yang-Mills.利用这种对联络$\nabla$的分析，结合初等分析方法，我们证明了解的存在性归结为K3曲面上的斜稳定层的模空间的已知结果.我们应用我们的构造找到了紧致非Kähler流形上Hull-Strominger系统的T-对偶解的第一个例子.
英文摘要：
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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