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Yangian symmetry of amplitudes in $\mathcal{N}=4$ super Yang-Mills theory is formulated in terms of eigenvalue relations for monodromy matrix operators. The Quantum Inverse Scattering Method provides the appropriate tools to treat the…

高能物理 - 理论 · 物理学 2015-06-17 D. Chicherin , S. Derkachov , R. Kirschner

In this thesis, we study the all same helicity loop amplitudes in self-dual Yang-Mills and self-dual gravity. These amplitudes have long been conjectured to be interpreted as an anomaly and are recently linked to the UV divergence of…

高能物理 - 理论 · 物理学 2023-10-24 Pratik Chattopadhyay

We report a result for the third-order correction in $1/N$ expansion to the four-point correlator of the stress tensor multiplet in $\mathcal{N}=4$ super Yang--Mills theory at large 't Hooft coupling, which corresponds to the two-loop…

高能物理 - 理论 · 物理学 2023-03-01 Zhongjie Huang , Ellis Ye Yuan

Double copy relates scattering amplitudes in a web of gravitational and gauge theories. Although it has seen great success when applied to amplitudes in vacuum, far less is known about double copy in arbitrary gravitational and gauge…

高能物理 - 理论 · 物理学 2024-11-19 Anton Ilderton , William Lindved

We study the interplay between graviton reggeization and double-logarithmic in energy contributions to four-graviton scattering in theories with and without supersymmetry. Predictions to all orders in the gravitational coupling are given…

高能物理 - 理论 · 物理学 2012-08-17 Jochen Bartels , Lev N. Lipatov , Agustin Sabio Vera

We show how generalised unitarity cuts in D = 4 - 2 epsilon dimensions can be used to calculate efficiently complete one-loop scattering amplitudes in non-supersymmetric Yang-Mills theory. This approach naturally generates the rational…

高能物理 - 理论 · 物理学 2009-11-11 Andreas Brandhuber , Simon McNamara , Bill Spence , Gabriele Travaglini

The scattering equations on the Riemann sphere give rise to remarkable formulae for tree-level gauge theory and gravity amplitudes. Adamo, Casali and Skinner conjectured a one-loop formula for supergravity amplitudes based on scattering…

高能物理 - 理论 · 物理学 2015-09-23 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

Supergravity theories with non-minimal K\"ahler potentials are characterized by a non-trivial field space manifold with corresponding non-trivial kinetic terms. The scattering amplitudes in these theories can be calculated at fixed…

高能物理 - 理论 · 物理学 2023-02-14 Emilian Dudas , Tony Gherghetta , Keith A. Olive , Sarunas Verner

The tree-level S-matrix of Einstein's theory is known to have a representation as an integral over the moduli space of punctured spheres localized to the solutions of the scattering equations. In this paper we introduce three operations…

高能物理 - 理论 · 物理学 2015-09-02 Freddy Cachazo , Song He , Ellis Ye Yuan

All four-point mixed gluon-graviton amplitudes in pure Einstein-Yang-Mills theory with at most one state of negative helicity are computed at one-loop order and maximal powers of the gauge coupling using D-dimensional generalized unitarity.…

高能物理 - 理论 · 物理学 2018-09-26 Dhritiman Nandan , Jan Plefka , Gabriele Travaglini

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

高能物理 - 理论 · 物理学 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

We show that certain five dimensional, N=2 Yang-Mills/Einstein supergravity theories admit the gauging of the full R-symmetry group, SU(2)_R, of the underlying N=2 Poincare superalgebra. This generalizes the previously studied Abelian…

高能物理 - 理论 · 物理学 2011-02-09 Murat Gunaydin , Marco Zagermann

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…

高能物理 - 理论 · 物理学 2013-07-18 Rutger H. Boels , Reinke Sven Isermann , Ricardo Monteiro , Donal O'Connell

We give a detailed study of the critical points of the potentials of the simplest non-trivial N=2 gauged Yang-Mills/Einstein supergravity theories with tensor multiplets. The scalar field target space of these examples is…

高能物理 - 理论 · 物理学 2009-10-13 Murat Gunaydin , Marco Zagermann

In this letter we derive new expressions for tree-level graviton amplitudes in $\mathcal{N}=8$ supergravity from BCFW recursion relations combined with new types of bonus relations. These bonus relations go beyond the famous $1/z^2$…

高能物理 - 理论 · 物理学 2023-09-13 Shruti Paranjape , Jaroslav Trnka

In this paper we study wrapped brane configurations that give rise to three dimensional pure Yang-Mills theory with eight supercharges. The corresponding supergravity solution is singular and it was conjectured that the singularity is…

高能物理 - 理论 · 物理学 2010-04-05 Martijn Wijnholt , Slava Zhukov

The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a…

高能物理 - 理论 · 物理学 2019-09-11 Henrik Johansson , Alexander Ochirov

We report the differential representation of three-point and four-point amplitudes for Yang-Mills fields and Einstein gravity in AdS at tree-level. The amplitudes exhibit the flat-space structures by using the weight-shifting operators with…

高能物理 - 理论 · 物理学 2023-06-28 Yue-Zhou Li

Feynman diagrams have been superseded as the tool of choice for calculating scattering amplitudes. Various other methods are not only more efficient but also explicitly exhibit beautiful structures obscured by Feynman diagrams. This thesis…

高能物理 - 理论 · 物理学 2018-12-24 Stefan Nekovar

We compute graviton scattering amplitudes in M-theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange,…

高能物理 - 理论 · 物理学 2016-08-25 Katrin Becker , Melanie Becker