标题： 带有可约特征全纯的杂化 G$_2$系统 显示英文标题

标题： The heterotic G$_2$ system with reducible characteristic holonomy

摘要： 我们构建了在具有约化特征全纯的几乎接触度量流形上的异质G$_2$系统的解。 我们关注 $3$-$(\alpha,\delta)$-Sasaki 流形和$(\alpha,\delta)$-Sasaki 流形，后者是对自旋$\eta$-Einstein $\alpha$-Sasaki 流形的一种方便的重新表述。 研究一个$1$参数族的切丛上的 G$_2$连接，我们得到了一些近似解以及在退化$3$-$(\alpha,\delta)$-Sasaki 流形上的一类新的精确解。 显示英文摘要

摘要： We construct solutions to the heterotic G$_2$ system on almost contact metric manifolds with reduced characteristic holonomy. We focus on $3$-$(\alpha,\delta)$-Sasaki manifolds and $(\alpha,\delta)$-Sasaki manifolds, the latter being a convenient reformulation of spin $\eta$-Einstein $\alpha$-Sasaki manifolds. Investigating a $1$-parameter family of G$_2$-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate $3$-$(\alpha,\delta)$-Sasaki manifolds.