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Related papers: Gravity On-shell Diagrams

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We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

By exploiting relations between gravity and gauge theories, we present two infinite sequences of one-loop n-graviton scattering amplitudes: the `maximally helicity-violating' amplitudes in N=8 supergravity, and the `all-plus' helicity…

High Energy Physics - Theory · Physics 2010-11-15 Z. Bern , L. Dixon , M. Perelstein , J. S. Rozowsky

We analyse one-loop graviton amplitudes in the field theory limit of a genus-one string theory computation. The considered amplitudes can be dimensionally reduced to lower dimensions preserving maximal supersymmetry. The particular case of…

High Energy Physics - Theory · Physics 2008-11-26 N. E. J. Bjerrum-Bohr , Pierre Vanhove

We present the full two-loop four-graviton amplitudes in N=4,5,6 supergravity. These results were obtained using the double-copy structure of gravity, which follows from the recently conjectured color-kinematics duality in gauge theory. The…

High Energy Physics - Theory · Physics 2015-05-30 C. Boucher-Veronneau , L. J. Dixon

We show that at tree level, on-shell gauge invariance can be used to fully determine the first subleading soft-gluon behavior and the first two subleading soft-graviton behaviors. Our proofs of the behaviors for n-gluon and n-graviton tree…

High Energy Physics - Theory · Physics 2014-11-11 Zvi Bern , Scott Davies , Paolo Di Vecchia , Josh Nohle

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

Concrete calculations have pointed out that amplitudes in perturbative gravity exhibit unanticipated cancellations taming their ultraviolet behaviour independently of supersymmetry. Similar ultraviolet behaviour of N=4 super-Yang-Mills and…

High Energy Physics - Theory · Physics 2008-11-26 N. E. J. Bjerrum-Bohr , Pierre Vanhove

We review recent progress in computations of amplitudes in gauge theory and gravity. We compare the perturbative expansion of amplitudes in N=4 super Yang-Mills and N=8 supergravity and discuss surprising similarities.

High Energy Physics - Theory · Physics 2017-08-23 N. E. J. Bjerrum-Bohr , David C. Dunbar , Harald Ita

We consider two-dimensional N=(2,2) supersymmetric gauge theory on discretized Riemann surfaces. We find that the discretized theory can be efficiently described by using graph theory, where the bosonic and fermionic fields are regarded as…

High Energy Physics - Theory · Physics 2022-06-28 Kazutoshi Ohta , So Matsuura

We derive an on-shell diagram recursion for tree-level scattering amplitudes in $\mathcal{N}=7$ supergravity. The diagrams are evaluated in terms of Grassmannian integrals and momentum twistors, generalising previous results of Hodges in…

High Energy Physics - Theory · Physics 2021-05-12 Connor Armstrong , Joseph A. Farrow , Arthur E. Lipstein

We examine non-gravitational minimal supermultiplets which are based on the tensor gauge fields appearing as matter fields in exceptional generalised geometry. When possible, off-shell multiplets are given. The fields in the multiplets…

High Energy Physics - Theory · Physics 2013-03-01 Martin Cederwall

Carrollian amplitudes are scattering amplitudes of massless particles written in position space at null infinity. We study various aspects of Carrollian amplitudes for gauge theory and gravity at loop level using primarily the modified…

High Energy Physics - Theory · Physics 2026-05-15 Vijay Nenmeli , Bin Zhu

In this note we study on-shell tree-level gravity amplitudes in the infinite momentum limit. In the case of the two-line BCFW shift, we have a famous improved behavior at infinity that allows for the amplitude to be reconstructed from the…

High Energy Physics - Theory · Physics 2025-12-15 Justin Lemmon , Jaroslav Trnka

We construct the generator of hamiltonian gauge symmetries in a 2+1 dimensional massive theory of gravity, proposed recently, through a systematic off-shell algorithm. Using a field dependant map among gauge parameters we show that the…

General Relativity and Quantum Cosmology · Physics 2011-11-30 Rabin Banerjee , Sunandan Gangopadhyay , Debraj Roy

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at…

High Energy Physics - Theory · Physics 2011-03-02 Clifford Cheung

We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity transformations are constrained and show that the conmutator of two infinitesinal…

High Energy Physics - Theory · Physics 2020-02-19 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

We derive a link representation for all tree amplitudes in N=8 supergravity, from a recent conjecture by Cachazo and Skinner. The new formula explicitly writes amplitudes as contour integrals over constrained link variables, with an…

High Energy Physics - Theory · Physics 2015-06-05 Song He

In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\mathcal{N}=4$ SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral…

High Energy Physics - Theory · Physics 2017-04-26 L. V. Bork , A. I. Onishchenko

In a previous paper we observed that (classical) tree-level gauge theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , John Joseph M. Carrasco , Henrik Johansson