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arXiv · 1810.04740

T-dual solutions of the Hull-Strominger system on non-K\"ahler threefolds

Mario Garcia-Fernandez
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Abstract

We construct new examples of solutions of the Hull-Strominger system on non-K\"ahler 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-K\"ahler manifolds with different topology.

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Mario Garcia-Fernandez. 2018-10-10. T-dual solutions of the Hull-Strominger system on non-K\"ahler threefolds. https://arxiv.org/abs/1810.04740

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