T-duality of $\alpha'$-correction to DBI action at all orders of gauge field

TL;DR

The paper demonstrates that higher derivative corrections to the DBI action can be expressed in a T-duality invariant form, related to covariant forms by field redefinitions, proposing a new invariant action including all orders of massless fields.

Contribution

It introduces a T-duality invariant form of the all-order higher derivative corrections to the DBI action, linked to covariant forms via non-covariant field redefinitions.

Findings

Higher derivative corrections can be covariant or T-duality invariant.

A non-covariant but T-duality invariant action is proposed.

The new action includes all orders of massless fields with two extra derivatives.

Abstract

By explicit calculations of four-field couplings, we observe that the higher derivative corrections to the DBI action in flat space-time, can be either in a covariant form or in a T-duality invariant form. The two forms are related by a non-covariant field redefinition. Using this observation, we then propose a non-covariant but T-duality invariant action which includes all orders of massless fields and has two extra derivatives with respect to the DBI action.