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Title: Gravity on-shell diagrams

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
  2. Univ. of California, Davis, CA (United States)

We study on-shell diagrams for gravity theories with any number of super-symmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only d log-factors, in gravity there is a non-trivial numerator as well as higher degree poles in the edge variables. Based on the structure of the Grassmannian formula for $$\mathcal{N}$$ = 8 supergravity we conjecture that gravity loop amplitudes also possess similar properties. In particular, we find that there are only logarithmic singularities on cuts with finite loop momentum and that poles at infinity are present, in complete agreement with the conjecture presented in[1].

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0011632
OSTI ID:
1360112
Alternate ID(s):
OSTI ID: 1596445
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 33 works
Citation information provided by
Web of Science

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Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes text January 2007
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Dual Superconformal Invariance, Momentum Twistors and Grassmannians text January 2009
Local Spacetime Physics from the Grassmannian text January 2009
Unification of Residues and Grassmannian Dualities text January 2009
Classical Polylogarithms for Amplitudes and Wilson Loops text January 2010
From correlation functions to Wilson loops text January 2010
Notes on the scattering amplitude / Wilson loop duality text January 2010
ABJM amplitudes and the positive orthogonal grassmannian text January 2013
Amplitude Relations in Non-linear Sigma Model text January 2013
Bootstrapping an NMHV amplitude through three loops text January 2014
Anatomy of the Amplituhedron preprint January 2014
Amplituhedron cells and Stanley symmetric functions preprint January 2014
OPE for all Helicity Amplitudes text January 2014
Positive Amplitudes In The Amplituhedron text January 2014
Logarithmic Singularities and Maximally Supersymmetric Amplitudes preprint January 2014
Non-Planar On-Shell Diagrams preprint January 2015
Evidence for a Nonplanar Amplituhedron text January 2015
One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits text January 1994
Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes text January 1994
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New Recursion Relations for Tree Amplitudes of Gluons text January 2004
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Cited By (12)

Δ-algebra and scattering amplitudes journal February 2019
New worldsheet formulae for conformal supergravity amplitudes journal July 2018
On-shell diagrams and the geometry of planar N < 4 $$ \mathcal{N}<4 $$ SYM theories journal November 2017
Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity journal November 2018
On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring journal November 2019
Positivity, Grassmannian geometry and simplex-like structures of scattering amplitudes journal December 2017
All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops journal March 2020
Prescriptive Unitarity text January 2017
Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity text January 2017
The two-loop five-point amplitude in $\mathcal N=8$ supergravity text January 2019
On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring text January 2019
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops text January 2019

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