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arXiv · 2101.03376

Higher-derivative Heterotic Double Field Theory and Classical Double Copy

Eric Lescano·Jesús A. Rodríguez
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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.

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Eric Lescano, Jesús A. Rodríguez. 2021-01-09. Higher-derivative Heterotic Double Field Theory and Classical Double Copy. https://doi.org/10.1007/jhep07(2021)072

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