Amplitudes and Ultraviolet Behavior of N=8 Supergravity

Abstract

In this contribution we describe computational tools that permit the evaluation of multi-loop scattering amplitudes in N=8 supergravity, in terms of amplitudes in N=4 super-Yang-Mills theory. We also discuss the remarkable ultraviolet behavior of N=8 supergravity, which follows from these amplitudes, and is as good as that of N=4 super-Yang-Mills theory through at least four loops.

28 pages, 8 figures, 3 tables. Talk presented at XVIth European Workshop on String Theory, Madrid, June, 2010. v2: minor typos fixed

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Cited by in corpus (36)

• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• Motivic Multiple Zeta Values and Superstring Amplitudes
• Scattering on plane waves and the double copy
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Gauged Supergravities
• On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
• Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
• Constraining Higher Derivative Supergravity with Scattering Amplitudes
• Amplitudes at Infinity
• Supersymmetric field theory with benign ghosts
• Non-perturbative Double Copy in Flatland
• Summation of all-loop UV Divergences in Maximally Supersymmetric Gauge Theories
• On the low energy limit of one loop photon-graviton amplitudes
• Quantum Gravity: the view from particle physics
• Worldsheet factorization for twistor-strings
• Quantum corrections to broken N = 8 supergravity
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Leading and Subleading UV Divergences in Scattering Amplitudes for D=8 N=1 SYM Theory in All Loops
• The Structure of UV Divergences in Maximally Supersymmetric Gauge Theories
• On the amplitudes in N=(1,1) D=6 SYM
• A double copy from twisted (co)homology at genus one
• Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity
• BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
• Exceptional versus superPoincaré algebra as the defining symmetry of maximal supergravity
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• E${}_8$ in $\mathcal{N}=8$ supergravity in four dimensions
• FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
• 4D covariance of holographic quantization of Einstein gravity
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• A hidden symmetry in quantum gravity
• The legacy of ADM
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• On 10D SYM superamplitudes
• General relativity as a two-dimensional CFT
• Maximal supergravity and the quest for finiteness
• Exceptional symmetries in light-cone superspace