Abstract
The generalized Kerr-Schild ansatz (GKSA) is a powerful tool for constructing exact solutions in Double Field Theory (DFT). In this paper we focus in the heterotic formulation of DFT, considering up to four-derivative terms in the action principle, while the field content is perturbed by the GKSA. We study the inclusion of the generalized version of the Green-Schwarz mechanism to this setup, in order to reproduce the low energy effective heterotic supergravity upon parametrization. This formalism reproduces higher-derivative heterotic background solutions where the metric tensor and Kalb-Ramond field are perturbed by a pair of null vectors. Next we study higher-derivative contributions to the classical double copy structure. After a suitable identification of the null vectors with a pair of U(1) gauge fields, the dynamics is given by a pair of Maxwell equations plus higher derivative corrections in agreement with the KLT relation.
Highlights
Is an invariant, and they are usually referred as the generalized metric and the generalized dilaton
In this paper we focus in the heterotic formulation of Double Field Theory (DFT), considering up to four-derivative terms in the action principle, while the field content is perturbed by the generalized Kerr-Schild ansatz (GKSA)
We study the heterotic formulation of DFT when higher-derivative terms are included, and the field content is perturbed with the GKSA
Summary
In the first part of this section we review the D = 10 heterotic supergravity considering α and β contributions, according to [57].2 Then we impose the supergravity version of the GKSA to perturbe the background fields.
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