The existence of K-instantons on a cylinder M^7 = R_tau x K/H over ahomogeneous nearly K"ahler 6-manifold K/H requires a conformally parallel or acocalibrated G_2-structure on M^7. The generalized anti-self-duality on M^7implies a Chern-Simons flow on K/H which runs between instantons on the coset.For K-equivariant connections, the torsionful Yang-Mills equation reduces to aparticular quartic dynamics for a Newtonian particle on C. When the torsioncorresponds to one of the G_2-structures, this dynamics follows from a gradientor hamiltonian flow equation, respectively. We present the analytic (kink-type)solutions and plot numerical non-BPS solutions for general torsion valuesinterpolating between the instantonic ones.
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机译：圆柱M ^ 7 = R_tau x K / H在均匀的几乎K“ ahler 6流形K / H上的K-instantons的存在要求M ^ 7上具有保形平行或非标定的G_2结构。广义反自- M ^ 7上的对偶性意味着K / H上的Chern-Simons流在陪集的各子午之间运行。该动力学是G_2结构之一，分别来自梯度流场和哈密顿流方程，我们给出了解析（扭结型）解，并绘制了非BPS数值解，以求在瞬时值之间插入一般扭转值。
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