Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials

TL;DR

This paper demonstrates that, under certain conditions, double field theory can incorporate non-trivial dilaton potentials and loop corrections by redefining the dilaton field non-locally, challenging previous beliefs about its invariance constraints.

Contribution

It introduces a non-local dilaton redefinition that allows for non-constant potentials and loop corrections in double field theory while maintaining gauge invariance.

Findings

Non-local dilaton redefinition enables non-trivial potentials.

The theory admits loop corrections under the strong constraint.

For dependence on a single coordinate, the non-local dilaton reduces to the ordinary one.

Abstract

It is believed that the invariance of the generalised diffeomorphisms prevents any non-trivial dilaton potential from double field theory. It is therefore difficult to include loop corrections in the formalism. We show that by redefining a non-local dilaton field, under strong constraint which is necessary to preserve the gauge invariance of double field theory, the theory does permit non-constant dilaton potentials and loop corrections. If the fields have dependence on only one single coordinate, the non-local dilaton is identical to the ordinary one with an additive constant.