$D=4$ topological gravity from gauging the Maxwell-special-affine group

Understand

In this paper, the Maxwell extension of the special-affine algebra is obtained and corresponding non-linear realization is constructed.

• We give also the differential realization of the generators of the extended symmetry.
• Moreover, we present the gauge theory of the Maxwell special-affine algebra and the topological gravity action in four dimensions.
• As a conclusion, we show that the Bianchi identities can be found by using the solution of the equations of motion.