Nonabelian Yang-Mills-Higgs and Plateau's problem in codimension three

Davide Parise, Alessandro Pigati, Daniel Stern

We investigate the asymptotic behavior of the $\mathrm{SU}(2)$-Yang-Mills-Higgs energy $E(\Phi ,A)={\int }_M|d_A\Phi {|}^2+|F_A{|}^2$ in the large mass limit, proving convergence to the codimensi…