Anisotropic inflation with coupled $\boldsymbol{p}$-forms

We study the cosmology in the presence of arbitrary couplings between pforms in 4-dimensional space-time for a general action respecting gauge symmetry and parity invariance. The interaction between 0-form (scalar field \phi and 3-form fields gives rise to an effective potential V_{\rm eff}(\phi)for the former after integrating out the contribution of the latter. We explore the dynamics of inflation on an anisotropic cosmological...