标题： 关于Hull-Strominger系统的调和度量和稳定性 显示英文标题

标题： Harmonic metrics for the Hull-Strominger system and stability

摘要： 我们研究与预设平衡类的Hull-Strominger系统解的存在性相关的稳定性条件。 我们基于作者最近的工作，其中Hull-Strominger系统通过非厄米杨-米尔斯联络和全纯Courant代数重新表述。 我们的主要进展是Hull-Strominger系统的一个调和度量概念，其灵感来自无限维超凯勒动量映射，并与一个数值稳定性条件相关，我们期望该条件在解族中普遍存在。 我们通过Iwasawa流形上的无限多个连续族例子来说明我们的理论。 显示英文摘要

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 hyperK\"ahler 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.