2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59680We calculate the Wess-Zumino term $Γ(g)$ for a harmonic map $g$ of a closed surface to a compact, simply connected, simple Lie group $G$ in terms of the energy and the holonomy of the Chern-Simons line bundle on the moduli space of flat $G$-connections. In the case of the 2-sphere we deduce that $Γ(g)$ is 0 or $π$ and for the 2-torus and $G=SU(2)$ we give a formula involving hyperelliptic integrals.LateX, 22 pagesDifferential GeometryMathematical Physics53C43; 58E20text