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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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Details
1 Universidad de Buenos Aires (UBA-CONICET), Ciudad Universitaria, Pabellón IAFE, Instituto de Astronomía y Física del Espacio, Buenos Aires, Argentina (GRID:grid.7345.5) (ISNI:0000 0001 0056 1981)
2 Universidad de Buenos Aires (UBA-CONICET), Ciudad Universitaria, Pabellón 1, Departamento de Física, FCEyN, Buenos Aires, Argentina (GRID:grid.7345.5) (ISNI:0000 0001 0056 1981)