  Maxwell extension of affine algebra with additional tensorial generators is
given. Using the methods of nonlinear realizations, we found the transformation
rules for group parameters and corresponding generators. Gauging the
Maxwell-affine algebra we presented two possible invariant actions for gravity:
one is the first order and the other one is the second order in affine
curvature. We noticed that equations of motion for the action, second order in
affine curvature, lead to the generalized Bianchi identities on the choice of
appropriate coefficients for a particular solution of the constraint equation.

High Energy Physics - Theory