Weyl invariant Dirac-Born-Infeld-Einstein theory

TL;DR

This paper develops a Weyl invariant extension of Dirac-Born-Infeld gravity, revealing how scalar degrees of freedom can be hidden and how vector fields can acquire mass, with implications for vector inflation models.

Contribution

It introduces a novel Weyl invariant Dirac-Born-Infeld gravity framework that naturally generates massive vector fields and nonminimal couplings relevant for inflation.

Findings

Scalar degree of freedom can be hidden via metric choice.

Vector field acquires mass through symmetry considerations.

Induces nonminimal couplings suitable for vector inflation.

Abstract

We consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. An appropriate choice of the metric hides the scalar degree of freedom which is required by the local scale invariance of the action at the first sight, and then a vector field acquires mass. Moreover, nonminimal couplings of the vector field and curvatures are induced, which may be suitable to the vector inflation scenario.