Higher-Derivative Corrections via the Double Copy Procedure

Fuente: arXiv
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Autores principales: Lescano, Eric, Rodríguez, Jesús A.
Formato: Preprint
Publicado: 2024
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author Lescano, Eric
Rodríguez, Jesús A.
author_facet Lescano, Eric
Rodríguez, Jesús A.
contents Recent advances in the off-shell formulation of the Double Copy (DC) procedure have revealed a profound connection between gauge theories and T-duality invariant frameworks. The main example is Double Field Theory (DFT), emerging as the the off-shell DC of Yang-Mills theory up to cubic order in perturbations. Extending this procedure to a higher-derivative gauge theory gives rise to a Higher-Derivative Double Theory (HDDT), which incorporates Weyl gravity along with $b$-field and dilaton contributions, all in a T-duality invariant manner. In this work, we show that the quadratic contributions of HDDT are directly related (up to field redefinitions) to DFT+, a T-duality invariant model associated with the bosonic string that incorporates first-order $α'$ corrections upon parameterization. Our results expand the potential applications of the off-shell DC program towards constructing perturbative $α'$-corrected Lagrangians, while also opening up possibilities for reversing the map by considering the single and zeroth copies.
format Preprint
id arxiv_https___arxiv_org_abs_2409_05628
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher-Derivative Corrections via the Double Copy Procedure
Lescano, Eric
Rodríguez, Jesús A.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Recent advances in the off-shell formulation of the Double Copy (DC) procedure have revealed a profound connection between gauge theories and T-duality invariant frameworks. The main example is Double Field Theory (DFT), emerging as the the off-shell DC of Yang-Mills theory up to cubic order in perturbations. Extending this procedure to a higher-derivative gauge theory gives rise to a Higher-Derivative Double Theory (HDDT), which incorporates Weyl gravity along with $b$-field and dilaton contributions, all in a T-duality invariant manner. In this work, we show that the quadratic contributions of HDDT are directly related (up to field redefinitions) to DFT+, a T-duality invariant model associated with the bosonic string that incorporates first-order $α'$ corrections upon parameterization. Our results expand the potential applications of the off-shell DC program towards constructing perturbative $α'$-corrected Lagrangians, while also opening up possibilities for reversing the map by considering the single and zeroth copies.
title Higher-Derivative Corrections via the Double Copy Procedure
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2409.05628