2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139219An analysis about the antisymmetric tensor matter fields Avdeev-Chizhov theory in a curved space-time is performed. We show, in a curved spacetime, that the Avdeev-Chizhov theory can be seen as a kind of a $λϕ^{4}$ theory for a "complex self-dual" field. This relationship between Avdeev-Chizhov theory and $λϕ^{4}$ theory simplify the study of tensor matter fields in a curved space-time. The energy-momentum tensor for matter fields is computed.6 pagesHigh Energy Physics - Theorytext