T-dual solutions of the Hull–Strominger system on non-Kähler threefolds
2020 ◽
Vol 2020
(766)
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pp. 137-150
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AbstractWe 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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2000 ◽
Vol 128
(1)
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pp. 79-86
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2003 ◽
Vol 14
(08)
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pp. 837-864
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2018 ◽
Vol 2019
(21)
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pp. 6661-6710
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2020 ◽
Vol 80
(10)
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1992 ◽
Vol 07
(23)
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pp. 2077-2085
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