Instanton-meron hybrid in the background of gravitational instantons - art. no. 125002

In the present work, perhaps the simplest and the most straightforward new algorithm for generating solutions to the (anti-)self-dual Yang-Mills (YM) equation in the typical gravitational instanton background is proposed and then applied to find solutions to practically all the known gravitational i nstantons. The solutions thus obtained turn out to be some kind of instanto n-meron hybrids possessing mixed features of both. Namely, they are rather exotic type configurations obeying a first order (anti-)self-dual YM equati on which are everywhere nonsingular and have finite Euclidean YM actions on one hand while exhibiting meronlike large distance behavior and carrying g enerally fractional topological charge values on the other. Close inspectio n, however, reveals that the solutions are more like instantons than merons in their generic nature.