Double field theory as the double copy of Yang-Mills theory

Felipe, Diaz-Jaramillo,; Hohm, Olaf; Plefka, Jan

doi:10.1103/physrevd.105.045012

Cited by 36 publications

(22 citation statements)

References 42 publications

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“…Ref. [231] showed that currents (one leg off-shell) obtained from perturbative double field theory satisfy a simple generalisation of the on-shell KLT relations; see [232,233] for related work. Regarding complete 'off-shellness', it is worth mentioning that there exist elegant and useful Lagrangians for gravity that were at least motivated by the double copy [234,235].…”

Section: Higher-order Perturbative Double Copymentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

Kosower¹,

Monteiro²,

O’Connell³

2022

Preprint

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Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of this formalism is that it enables us to study implications of the double copy in classical gravity. We discuss examples of observables including the total change of a particle's momentum, and the gravitational waveform, during a scattering encounter. The double copy also allows direct access to classical solutions in gravity. We review this classical double copy starting from its linearised level, where it originates in the double copy of three-point amplitudes. The classical double copy extends elegantly to exact solutions, making a connection between scattering amplitudes and the geometric formulation of General Relativity.

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Section: Higher-order Perturbative Double Copymentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

Kosower¹,

Monteiro²,

O’Connell³

2022

Preprint

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“…The main results of this work allow us the inspection of the single and zeroth copy at the DFT level. The foundations of this relation and DFT can be consulted in [27].…”

Section: Classical Double Copy At the Dft Levelmentioning

confidence: 99%

Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation

Lescano,

Roychowdhury

2022

Preprint

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We present a formulation of heterotic Double Field Theory (DFT), where the fundamental fields are in O(D, D) representations. The theory is obtained splitting an O(D, D + K) duality invariant DFT. This procedure produces a Green-Schwarz mechanism for the generalized metric, and a fundamental gauge field which transforms as a gauge connection only to leading order. After parametrization, the former induces a non-covariant transformation on the metric tensor, which can be removed considering field redefinitions, and an ordinary Green-Schwarz mechanism on the b-field. Within this framework we explore perturbative properties of heterotic DFT. We use a relaxed version of the generalized Kerr-Schild ansatz (GKSA), where the generalized background metric is perturbed up to quadratic order considering a single null vector and the gauge field is linearly perturbed before parametrization. Finally we compare the dynamics of the gauge field and the generalized metric in order to inspect the behavior of the classical double copy correspondence at the DFT level.

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“…For tree-level amplitudes in purely-adjoint gauge theories, the application of the double copy is equivalent to the field-theory limit of the Kawai-Lewellen-Tye (KLT) relations [73] between open and closed string amplitudes. The double-copy applies to a large web of gravitational theories [2,40,[74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93], including string theory [94][95][96][97][98][99][100] and ambi-twistor string constructions [101][102][103][104][105][106]. The double copy has been extended to classical solutions in general relativity, such as Schwarzschild and Kerr black holes and calculations relevant to gravitational-wave physics [132][133][134][135][136][137][138][139][140][141]…”

Section: Introductionmentioning

confidence: 99%

Off-Shell Color-Kinematics Duality for Chern-Simons

Ben-Shahar¹,

Johansson²

2021

Preprint

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Many gauge theories possess a hidden duality between color and kinematics in their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization of the duality, thus manifesting a kinematic algebra. We show that 3D Chern-Simons (CS) theory in Lorenz gauge obeys off-shell color-kinematics duality. This holds both for the gauge field and the BRST ghosts, and the duality is manifest in the Feynman rules. A kinematic algebra can be formulated through a second-order differential operator (Poisson bracket) acting on the off-shell fields, and it corresponds to 3D diffeomorphisms generated by functions in Lorenz gauge. We consider several admissible double-copy constructions of CS theory with Yang-Mills theory, a higher-derivative (DF ) 2 gauge theory, or CS theory itself. To obtain non-vanishing amplitudes, we deform pure CS theory by including the maximum amount of adjoint matter that respects the on-shell duality. This gives a new formulation of an N = 4 CS-matter theory, with fields of unusual statistics. We argue that the color-stripped tree amplitudes of this theory are equivalent to those of the Gaiotto-Witten N = 4 CS theory with bi-fundamental matter. We further show that the double copy of the N = 4 CS theory with itself corresponds to maximally supersymmetric N = 8 Dirac-Born-Infeld theory.

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Double field theory as the double copy of Yang-Mills theory

Cited by 36 publications

References 42 publications

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation

Off-Shell Color-Kinematics Duality for Chern-Simons

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