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Related papers: Shift symmetries, soft limits, and the double copy…

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This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that…

High Energy Physics - Theory · Physics 2014-07-22 Alexander Ochirov , Piotr Tourkine

We identify novel structure in newly computed multi-loop amplitudes and quantum actions for even-point effective field theories, including both the nonlinear sigma model (NLSM) and double-copy gauge theories such as Born-Infeld and its…

High Energy Physics - Theory · Physics 2023-08-01 John Joseph M. Carrasco , Nicolas H. Pavao

We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered…

High Energy Physics - Theory · Physics 2018-06-21 John Joseph M. Carrasco , Carlos R. Mafra , Oliver Schlotterer

We clarify the relation between the classical double copy and the double copy for amplitudes in the setting of selfdual gauge and gravity theories. To this end we construct explicit all-order perturbative solutions in these theories and…

High Energy Physics - Theory · Physics 2025-03-21 Joris Raeymaekers

We introduce a new set of symmetries obeyed by tree-level gauge-theory amplitudes involving at least one gluon. The symmetry acts as a momentum-dependent shift on the color factors of the amplitude. Using the radiation vertex expansion, we…

High Energy Physics - Theory · Physics 2016-11-23 Robert W. Brown , Stephen G. Naculich

Scalar effective field theories with enhanced soft limits behave in many ways like gauge theories and gravity. In particular, symmetries fix the structure of interactions and the tree-level S-matrix in both types of theories. We explore how…

High Energy Physics - Theory · Physics 2020-10-08 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson , Austin Joyce , Rachel A. Rosen

We derive a non-perturbative, Lagrangian-level formulation of the double copy in two spacetime dimensions. Our results elucidate the field theoretic underpinnings of the double copy in a broad class of scalar theories which can include…

High Energy Physics - Theory · Physics 2022-12-08 Clifford Cheung , James Mangan , Julio Parra-Martinez , Nabha Shah

We show both the leading and subleading double soft theorems of the nonlinear sigma model follow from a shift symmetry enforcing Adler's zero condition in the presence of an unbroken global symmetry. They do not depend on the underlying…

High Energy Physics - Theory · Physics 2016-03-02 Ian Low

I point out that standard two dimensional, asymptotically free, non-linear sigma models, supplemented with terms giving a mass to the would-be Goldstone bosons, share many properties with four dimensional supersymmetric gauge theories, and…

High Energy Physics - Theory · Physics 2009-10-31 Frank Ferrari

It was recently discovered by Arkani-Hamed et al and Cao et al that the colour-ordered scattering amplitudes of Tr$(\Phi^3)$, the non-linear sigma model and Yang-Mills-scalar vanish at specific loci. We build on this observation and…

High Energy Physics - Theory · Physics 2025-10-31 Yang Li , Diederik Roest , Tonnis ter Veldhuis

We give a covariant construction of Lagrangians for spinor fields in generic Newton-Cartan backgrounds. A non-relativistic Dirac/Levy-Leblond operator and the associated fields are obtained from relativistic analogues by a limiting…

High Energy Physics - Theory · Physics 2016-01-06 John F. Fuini , Andreas Karch , Christoph F. Uhlemann

We find the Lie point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries comprise a quasi-invariance transformation, a time-dependent rotation, a time-dependent spatial translation and a dilation. The…

Mathematical Physics · Physics 2009-11-07 F. Haas , J. Goedert

We initiate a systematic study on how to extract planar integrands of (supersymmetric) scattering amplitudes with $L$ loops and $n$ legs in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the recently proposed (bosonic) generating…

High Energy Physics - Theory · Physics 2026-04-09 Song He , Yao-Qi Zhang

The primary objective of this study is to remove duplicated monomial contributions that proliferate in Carleman linearization as state dimension and truncation order increase. To do so, we adopt a shift-and-lift architecture, since it…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Takaki Akiba , Youhi Morii

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

Duality symmetries are discussed for non-linear gauge theories of (n-1)-th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be…

High Energy Physics - Theory · Physics 2009-10-31 M. Araki , Y. Tanii

In the framework of the convolutional double copy, we investigate the asymptotic symmetries of the gravitational multiplet stemming from the residual symmetries of its single-copy constituents at null infinity. We show that the asymptotic…

High Energy Physics - Theory · Physics 2024-05-27 Pietro Ferrero , Dario Francia , Carlo Heissenberg , Matteo Romoli

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories:…

High Energy Physics - Theory · Physics 2018-10-17 Henrik Johansson , Gustav Mogull , Fei Teng

We examine the first-order Einstein-Cartan (EC) action in 2+1 dimensions, including a cosmological term and its supersymmetric extension. In this setting the spin connection can be expressed as an axial vector, yielding an action that is…

High Energy Physics - Theory · Physics 2026-01-16 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

We consider the momentum-space 3-point correlators of currents, stress tensors and marginal scalar operators in general odd-dimensional conformal field theories. We show that the flat space limit of these correlators is spanned by gauge and…

High Energy Physics - Theory · Physics 2019-02-22 Joseph A. Farrow , Arthur E. Lipstein , Paul McFadden