Higher-derivative Heterotic Double Field Theory and Classical Double Copy
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 gauge fields, the dynamics is given by a pair of Maxwell equations plus higher derivative corrections in agreement with the KLT relation.
Cite
@article{arxiv.2101.03376,
title = {Higher-derivative Heterotic Double Field Theory and Classical Double Copy},
author = {Eric Lescano and Jesús A. Rodríguez},
journal= {arXiv preprint arXiv:2101.03376},
year = {2021}
}
Comments
V2 includes: EOM's for fundamental fields (Sec. 4), explicit construction of the spin-connection (Sec. 5) and we relax the ortogonality condition for the null vectors (Sec. 6). We thank our anonymous JHEP referee for the suggestions