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Higher-derivative Heterotic Double Field Theory and Classical Double Copy

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arxiv 2101.03376 v2 pith:5HPIEG2S submitted 2021-01-09 hep-th gr-qc

Eric Lescano , Jesús A. Rodríguez This is my paper · ORCID
classification hep-thgr-qc
keywords doublefieldheterotichigher-derivativepairclassicalcopygeneralized
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. From noncommutative Yang-Mills to noncommutative gravity through a classical double copy map

    hep-th 2025-02 conditional novelty 6.0 of 10

    The classical double copy of noncommutative Yang-Mills yields a theta-squared-corrected cubic double field theory action whose pure gravity limit is Einstein-Hilbert plus Riemann-cubed terms in D=4 transverse-traceless gauge.

  2. Lecture notes: Introduction to the Off-shell Double Copy Program

    hep-th 2026-06 unverdicted novelty 2.5 of 10

    Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.

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