2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98473We go on with the definition of the theory of the non--Abelian two--tensor fields and find the gauge transformation rules and curvature tensor for them. To define the theory we use the surface {\it exponent} proposed in hep--th/0503234. We derive the differential equation for the {\it exponent} and make an attempt to give a matrix model formulation for it. We discuss application of our constructions to the Yang--Baxter equation for integrable models and to the String Field Theory.19 pages, 9 figuresHigh Energy Physics - TheoryAlgebraic GeometryQuantum Algebratext