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We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field…

High Energy Physics - Theory · Physics 2024-04-23 Vyacheslav Ivanovskiy , Dmitry Ponomarev

We explore the double copy of effective field theories (EFTs), in the recently proposed generalized color-kinematics and Kawai-Lewellen-Tye (KLT) approaches. In the former, we systematically construct scalar numerators satisfying the Jacobi…

High Energy Physics - Theory · Physics 2022-05-17 Quentin Bonnefoy , Gauthier Durieux , Christophe Grojean , Camila S. Machado , Jasper Roosmale Nepveu

We identify a diffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory, and show that it determines the kinematic numerators of tree-level MHV amplitudes in the full theory. These amplitudes can be computed off-shell from…

High Energy Physics - Theory · Physics 2011-07-27 Ricardo Monteiro , Donal O'Connell

Color-ordered amplitudes for the scattering of n particles in the adjoint representation of SU(N) gauge theory satisfy constraints that arise from group theory alone. These constraints break into subsets associated with irreducible…

High Energy Physics - Theory · Physics 2015-06-05 Alexander C. Edison , Stephen G. Naculich

We show that scattering amplitudes in magical, symmetric or homogeneous N=2 Maxwell-Einstein supergravities can be obtained as double copies of two gauge theories, using the framework of color/kinematics duality. The left-hand-copy is N=2…

High Energy Physics - Theory · Physics 2017-08-28 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N=4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux.…

High Energy Physics - Theory · Physics 2022-08-24 Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Kasper E. Vardinghus , Matthias Wilhelm

We compute the two point correlation function of a dimension 4 operator in a nonconformal cascading N=1 SUSY gauge theory using the supergravity dual found by Klebanov and Strassler[hep-th/0007191]. The two point function has a logarithmic…

High Energy Physics - Theory · Physics 2007-05-23 Michael Krasnitz

We present the fully integrated form of the two-loop four-gluon amplitude in $\mathcal{N} = 2$ supersymmetric quantum chromodynamics with gauge group SU$(N_c)$ and with $N_f$ massless supersymmetric quarks (hypermultiplets) in the…

High Energy Physics - Theory · Physics 2019-12-18 Claude Duhr , Henrik Johansson , Gregor Kälin , Gustav Mogull , Bram Verbeek

We explore the idea that large $N$, non-supersymmetric conformal field theories with a parametrically large gap to higher spin single-trace operators may be obtained as infrared fixed points of relevant double-trace deformations of…

High Energy Physics - Theory · Physics 2018-04-04 Simone Giombi , Eric Perlmutter

The planar scattering amplitudes of $\mathcal{N} = 4$ super-Yang--Mills theory display symmetries and structures which underlie their relatively simple analytic properties such as having only logarithmic singularities and no poles at…

High Energy Physics - Theory · Physics 2018-09-26 Zvi Bern , Michael Enciso , Chia-Hsien Shen , Mao Zeng

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

We study kinematic algebras associated to the recently proposed scattering equations, which arise in the description of the scattering of massless particles. In particular, we describe the role that these algebras play in the BCJ duality…

High Energy Physics - Theory · Physics 2015-06-17 Ricardo Monteiro , Donal O'Connell

We describe a method which allows one to study hidden symmetries in a large class of strongly coupled supersymmetric gauge theories in three dimensions. We apply this method to the ABJM theory and to the infrared limit of N=4 SQCD with…

High Energy Physics - Theory · Physics 2011-05-09 Denis Bashkirov , Anton Kapustin

A new perspective on the inverse string theory Kawai-Lewellen-Tye (KLT) kernel is provided which establishes the universality of scattering amplitudes in the bi-adjoint scalar (BAS) theory, pions in the Non-linear sigma model (NLSM), and…

High Energy Physics - Theory · Physics 2025-05-06 Christoph Bartsch , Karol Kampf , Jiří Novotný , Jaroslav Trnka

We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for $\mathcal{N}\ge 4$…

High Energy Physics - Theory · Physics 2025-09-25 Hirotaka Hayashi , Tomoki Nosaka , Tadashi Okazaki

For N=6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is…

High Energy Physics - Theory · Physics 2015-05-28 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

Theories with generalised conformal structure contain a dimensionful parameter, which appears as an overall multiplicative factor in the action. Examples of such theories are gauge theories coupled to massless scalars and fermions with…

High Energy Physics - Theory · Physics 2021-03-17 Claudio Corianò , Luigi Delle Rose , Kostas Skenderis

The chromaticity diagram associated with the CIE 1931 color matching functions is shown to be slightly non-convex. While having no impact on practical colorimetric computations, the non-convexity does have a significant impact on the shape…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Scott A. Burns

We develop new mathematical tools for the study of the double copy and colour-kinematics duality for tree-level scattering amplitudes using the properties of Lie polynomials. We show that the $S$-map that was defined to simplify…

High Energy Physics - Theory · Physics 2023-07-26 Hadleigh Frost , Carlos R. Mafra , Lionel Mason

We explore extensions of the double copy to massive theories and find a new cubic theory with a local double copy. We consider the nonlinear sigma model and the special galileon theory, massless versions of which are known to be related…

High Energy Physics - Theory · Physics 2022-06-22 Mariana Carrillo González , Qiuyue Liang , Mark Trodden