Maxwell-modified metric affine gravity

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging tensor representation linear group. then obtain Maxwell modified metric gravity action with cosmological constant term. find field equations theory and show that reduces Einstein-like equation for source added \mu contains contributions from new fields. The reduction Riemann-Cartan one is discussed shear curvature corresponding symmetric part connection identified dark energy. Furthermore, fields interpreted as geometrical inflaton vector which drive accelerated expansion.