Instantons confined by monopole strings

It is known that monopoles can be confined by vortex strings in d=3+1 while vortices can be confined by domain lines in d=2+1. Here, as a higher dimensional generalization of these, we show that Yang-Mills instantons can be confined by monopole strings in d=4+1. We achieve this by putting the system into the Higgs phase in which the configuration can be constructed inside a non-Abelian vortex sheet.