论文标题

su(2)^2xu(1)-Invariant g_2-instantons在C7家族的交流极限上

SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family

论文作者

Matthies, Karsten, Nordström, Johannes, Turner, Matt

论文摘要

我们在G_2-Metrics的C7家族的渐近圆锥形限制上构建SU(2)^2xu(1)-Invariant G_2-instantons。该构建使用动态系统方法,涉及Abelian解决方案的扰动以及G_2-CONE上的解决​​方案。由此,我们获得了具有量规组(2)和有界曲率的1参数instantons家族。

We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving perturbations of an abelian solution and a solution on the G_2-cone. From this we obtain a 1-parameter family of invariant instantons with gauge group SU(2) and bounded curvature.

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