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Double Field Theory as the Double Copy of Yang-Mills

2021/09/30 by Felipe Díaz-Jaramillo, Felipe Diaz-Jaramillo, Olaf Hohm +1
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Dilaton #Gauge theory #Introduction to gauge theory #Invariant theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #String (physics) #String field theory #Theoretical physics #Yang–Mills theory #hep-th

paper · pdf · doi:10.1103/physrevd.105.045012

v2: minor changes, refs. added, version to appear in PRD

arxiv created 2022/02/16 · openalex publication_date 2022/02/17 · openalex created_date 2022/02/24 · arxiv updated 2022/03/02 · openalex updated_date 2026/08/06

Abstract

We show that double field theory arises from the color-kinematic double copy of Yang-Mills theory. A precise double copy prescription for the Yang-Mills action at quadratic and cubic order is provided that yields the double field theory action in which the duality invariant dilaton has been integrated out. More precisely, at quadratic order this yields the gauge invariant double field theory, while at cubic order it yields the cubic double field theory action subject to a gauge condition that originates from Siegel gauge in string field theory.

Citations