Classical duality from dimensional reduction of self-dual 4-form Maxwell theory in 10 dimensions

By dimensional reduction of a self-dual p-form theory on some compact space, we determine the duality generators of the gauge theory in 4 dimensions. In this picture duality is seen as a consequence of the compact space. We describe the dimensional reduction of 10-dimensional self-dual 4-form Maxwell theory to give a theory in 4-dimensions with scalar, one form and two form fields that all transform non trivially under duality.