Double Field Theory as the Double Copy of Yang-Mills

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.

arXiv commentv2: minor changes, refs. added, version to appear in PRD

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Cited by in corpus (13)

• Off-Shell Color-Kinematics Duality for Chern-Simons
• Gauge invariant double copy of Yang-Mills theory: the quartic theory
• The Gauge Structure of Double Field Theory follows from Yang-Mills Theory
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• Kinematic Hopf algebra for amplitudes and form factors
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation
• Berends-Giele currents for extended gravity
• Cosmological Perturbations in Double Field Theory
• NS-NS Spacetimes from Amplitudes
• The Dark Side of Double-Tensor Multiplets