2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73279We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-harmonic maps. We study some geometric and analytic aspects of such maps, in particular a removable singularity theorem.Differential GeometryAnalysis of PDEs58E20text