MG14 - Talk detail

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In this talk we will consider the Gauss-Bonnet action in Weyl-Cartan geometry. The role of Gauss-Bonnet action in Weyl and also Cartan gravity is known for decades and we know that this combinations lead to a gravity theory plus some gauge fields. We first show that the Weyl-Cartan theory gives rise to a gravitational theory minimally coupled to two vector fields, one of which is massless and the other is massive. The parameters will be then constraint to have a healthy theory. By generalizing the action through introducing a scalar filed coupled to Gauss-Bonnet action we will show that the axion inflation model can produce in this model. The theory predicts a coupling between the axion field and the canonical vector kinetic term as well as the usual axion-vector field coupling. We will also consider the cosmological implications of the axion model.

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