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Related papers: Massive Covariant Colour-Kinematics in 3D

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We find double copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying…

High Energy Physics - Theory · Physics 2017-12-29 Walter D. Goldberger , Siddharth G. Prabhu , Jedidiah O. Thompson

We construct a covariant and gauge-invariant theory describing massive fractons in three spacetime dimensions, based on a symmetric rank-2 tensor field. The model includes a Chern-Simons-like term that plays a dual role: it generates a…

High Energy Physics - Theory · Physics 2025-10-28 Erica Bertolini , Matteo Carrega , Nicola Maggiore , Daniel Sacco Shaikh

We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones.…

High Energy Physics - Theory · Physics 2010-12-13 Z. Bern , J. J. M. Carrasco , H. Johansson

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

We review (and elaborate on) the `dual graviton problem' in the context of duality covariant formulations of M-theory (exceptional field theories). These theories require fields that are interpreted as components of the dual graviton in…

High Energy Physics - Theory · Physics 2019-06-12 Olaf Hohm , Henning Samtleben

Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension…

High Energy Physics - Theory · Physics 2022-11-30 Leron Borsten , Hyungrok Kim , Branislav Jurčo , Tommaso Macrelli , Christian Saemann , Martin Wolf

Colour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been verified at tree level in various ways, but similar…

High Energy Physics - Theory · Physics 2013-07-18 Rutger H. Boels , Reinke Sven Isermann , Ricardo Monteiro , Donal O'Connell

Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction…

High Energy Physics - Theory · Physics 2012-12-24 Gregory Gabadadze , Kurt Hinterbichler , Justin Khoury , David Pirtskhalava , Mark Trodden

This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We emphasize, in particular, applications to…

High Energy Physics - Theory · Physics 2019-09-05 Zvi Bern , John Joseph Carrasco , Marco Chiodaroli , Henrik Johansson , Radu Roiban

In this work, we show that duality symmetry can be implemented for massive theories at the level of the action, whenever we can formulate appropriates gauge invariant actions. For a massive vectorial field, we use a known gauge invariant…

High Energy Physics - Theory · Physics 2015-03-11 Adel Khoudeir , David Sierra

We consider the conformally-invariant coupling of topologically massive gravity to a dynamical massless scalar field theory on a three-manifold with boundary. We show that, in the phase of spontaneously broken Lorentz and Weyl symmetries,…

High Energy Physics - Theory · Physics 2014-11-18 I. I. Kogan , A. Momen , R. J. Szabo

A massive gauge invariant formulation for scalar ($\phi$) and antisymmetric ($C_{mnp}$) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the non-gauge…

High Energy Physics - Theory · Physics 2014-11-18 Pio Jose Arias , Adel Khoudeir

By dimensional reduction of a massive supersymmetric B$\wedge $F theory, a manifestly N=1 supersymmetric completion of a massive antisymmetric tensor gauge theory is constructed in (2+1) dimensions. In the N=1-D=3 superspace, a new…

High Energy Physics - Theory · Physics 2014-11-18 M. A. M. Gomes , R. R. Landim , C. A. S. Almeida

We discuss locally Weyl (scale) covariant generalisations of gravitational theories using Riemann-Cartan-Weyl space-times in arbitrary dimensions. We demonstrate the procedure of Weyl gauging on two examples in particular: General…

General Relativity and Quantum Cosmology · Physics 2019-04-18 Tekin Dereli , Cem Yetişmişoğlu

We extend a previously developed approach to relate thermal currents in the high temperature regime and classical limits of amplitudes. We consider the bi-adjoint scalar theory, which has the basic structure of a cubic theory and which is…

High Energy Physics - Theory · Physics 2022-12-14 Leonardo de la Cruz

We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to…

High Energy Physics - Theory · Physics 2021-07-28 Andreas Brandhuber , Gang Chen , Gabriele Travaglini , Congkao Wen

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of…

High Energy Physics - Theory · Physics 2023-11-08 Roberto Bonezzi , Felipe Diaz-Jaramillo , Silvia Nagy

We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N=2 gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well…

High Energy Physics - Theory · Physics 2011-08-23 Tudor Dimofte , Davide Gaiotto , Sergei Gukov

In this thesis the recently developed duality covariant approach to string and M-theory is investigated. In this formalism the U-duality symmetry of M-theory or T-duality symmetry of Type II string theory becomes manifest upon extending…

High Energy Physics - Theory · Physics 2018-01-03 Edvard Musaev