2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185771A class of two-dimensional field theories with exponential interactions is introduced. The interaction depends on two ``coupling'' matrices and is sufficiently general to include all Toda field theories existing in the literature. Lie point symmetries of these theories are found for an infinite, semi-infinite and finite number of fields. Special attention is accorded to conformal invariance and its breaking.25 pages, no figures, Latex fileExactly Solvable and Integrable Systemstext