Hull-Strominger系统的调和度量与稳定性
Harmonic metrics for the Hull-Strominger system and stability
摘要：
我们研究了具有指定平衡类的Hull-Strominger系统解的存在性的稳定性条件。我们建立在作者最近的工作，其中的Hull-Strominger系统是重铸使用非埃尔米特杨-米尔斯连接和全纯柯朗代数胚。我们的主要发展是一个概念的调和度量的Hull-Strominger系统，激发了无限维hyperKähler矩映射和相关的数值稳定性条件，我们希望普遍存在的家庭的解决方案。我们说明了我们的理论与岩泽流形上的例子的无限数量的连续家庭。
英文摘要：
We investigate stability conditions related to the existence of solutions of the Hull-Strominger system with prescribed balanced class. We build on recent work by the authors, where the Hull-Strominger system is recasted using non-Hermitian Yang-Mills connections and holomorphic Courant algebroids. Our main development is a notion of harmonic metric for the Hull-Strominger system, motivated by an infinite-dimensional hyperKähler moment map and related to a numerical stability condition, which we expect to exist generically for families of solutions. We illustrate our theory with an infinite number of continuous families of examples on the Iwasawa manifold.
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