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We study perturbative amplitudes in a large class of theories obtained by marginal deformations of the N=4 supersymmetric Yang-Mills. We find that planar amplitudes in the deformed theories are closely related to planar amplitudes in the…

High Energy Physics - Theory · Physics 2009-11-11 Valentin V Khoze

We present a formulation of the maximally supersymmetric N=4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic…

High Energy Physics - Theory · Physics 2017-04-07 Dmitry Chicherin , Emery Sokatchev

Motivated by connections with observable phenomena, in particular with soft factorization theorems for scattering amplitudes and with memory effects, renewed interest has been recently shown in the subject of asymptotic symmetries at null…

High Energy Physics - Theory · Physics 2019-11-28 Carlo Heissenberg

We develop a novel bi-harmonic $\mathcal{N}=4$ superspace formulation of the $\mathcal{N}=4$ supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the $\mathcal{N}=4$ SYM superfield constraints are solved in terms of…

High Energy Physics - Theory · Physics 2021-04-21 I. L. Buchbinder , E. A. Ivanov , V. A. Ivanovskiy

The relation between four-dimensional $SO(4)$ pure Yang-Mills theory and the gravity is discussed. The functional integral for Yang-Mills theory is rewritten in terms of the gravity metric and Riemann tensors. This relation is shown to also…

High Energy Physics - Theory · Physics 2025-04-04 A. G. Shuvaev

We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma…

High Energy Physics - Theory · Physics 2021-08-04 Karol Kampf , Jiri Novotny , Filip Preucil , Jaroslav Trnka

We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. For small supersymmetry breaking parameter with respect to…

High Energy Physics - Theory · Physics 2009-07-09 Luis Alvarez-Gaume , Jacques Distler , Costas Kounnas , Marcos Marino

We study a non-perturbative formulation of N=4 super Yang-Mills theory (SYM) on RxS^3 proposed in arXiv:0807.2352. This formulation is based on the large-N reduction, and the theory can be described as a particular large-N limit of the…

High Energy Physics - Theory · Physics 2015-05-28 Goro Ishiki , Shinji Shimasaki , Asato Tsuchiya

We introduce the orthogonal Grassmannian as a novel kinematic space for describing correlators of massless spinning fields in de Sitter space. By automatically encoding the constraints of conformal symmetry and current conservation, the…

High Energy Physics - Theory · Physics 2026-02-10 Mattia Arundine , Daniel Baumann , Mang Hei Gordon Lee , Guilherme L. Pimentel , Facundo Rost

Infrared equations and dual conformal constraints arise as consistency conditions on loop amplitudes in N=4 super Yang-Mills theory. These conditions are linear relations between leading singularities, which can be computed in the…

High Energy Physics - Theory · Physics 2014-11-20 Johannes Broedel , Song He

This chapter introduces the foundational elements of scattering amplitudes. It is meant to be accessible to readers with only a basic understanding of quantum field theory. Topics covered include: the four-dimensional spinor-helicity…

High Energy Physics - Theory · Physics 2023-01-10 Andreas Brandhuber , Jan Plefka , Gabriele Travaglini

We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons of non-identical helicities behave universally in the limit,…

High Energy Physics - Theory · Physics 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov

We describe the connection between spontaneously-broken higher symmetries and soft theorems for scattering amplitudes of their associated Nambu-Goldstone bosons. Our main result is a new sub-leading double soft pion theorem in theories with…

High Energy Physics - Theory · Physics 2026-02-24 Jonah Berean-Dutcher , Maria Derda , Julio Parra-Martinez

We conjecture that $W$ gravity can be interpreted as the gauge theory of $\phi$ diffeomorphisms in the space of dimensionally-reduced $D=2+2$ $SU^*(\infty)$ Yang-Mills instantons. These $\phi$ diffeomorphisms preserve a volume-three form…

High Energy Physics - Theory · Physics 2009-10-22 Yang-Mills Instantons Carlos Castro

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

In this article, we reconsider the formulation of Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory, and we investigate to what extent this symmetry lifts to the beta/gamma-deformation of the model. We first apply cohomology…

High Energy Physics - Theory · Physics 2024-11-26 Niklas Beisert , Benedikt König

From pure Yang-Mills action for the $SL(5,\mathbb{R})$ group in four Euclidean dimensions we obtain a gravity theory in the first order formalism. Besides the Einstein-Hilbert term, the effective gravity has a cosmological constant term, a…

High Energy Physics - Theory · Physics 2017-10-26 T. S. Assimos , A. D. Pereira , T. R. S. Santos , R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

We show how the perturbation theory results recently obtained by F.Fiamberti, A.Santambrogio, C.Sieg and D.Zanon for operator anomalous dimensions of beta-deformed Super-Yang-Mills theory can be reproduced from the AdS5/CFT4 Y-system…

High Energy Physics - Theory · Physics 2010-12-07 Nikolay Gromov , Fedor Levkovich-Maslyuk

We derive a new model-independent double-soft dilaton theorem, taking into account the spacetime dependence of the dilation commutator $[i Q_D,{\cal O}(x)]= (\Delta_{\cal O} + x \cdot \partial){\cal O}(x)$. The procedure restores positivity…

High Energy Physics - Lattice · Physics 2025-08-25 Roman Zwicky

We study the spectrum of the softly broken generalized Veneziano-Yankielowicz effective action for N=1 SUSY Yang-Mills theory. Two dual formulations of the effective action are given. The spurion method is used for the soft SUSY breaking.…

High Energy Physics - Theory · Physics 2009-10-31 G. R. Farrar , G. Gabadadze , M. Schwetz
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