N=8 Supergravity on the Light Cone

Abstract

We construct the generating functional for the light-cone superfield amplitudes in a chiral momentum superspace. It generates the n-point particle amplitudes which on shell are equivalent to the covariant ones. Based on the action depending on unconstrained light-cone chiral scalar superfield, this functional provides a regular d=4 QFT path integral derivation of the Nair-type amplitude constructions. By performing a Fourier transform into the light-cone chiral coordinate superspace we find that the quantum corrections to the superfield amplitudes with n legs are non-local in transverse directions for the diagrams with the number of loops smaller than n(n-1)/2 +1. This suggests the reason why UV infinities, which are proportional to local vertices, cannot appear at least before 7 loops in the light-cone supergraph computations. By combining the E7 symmetry with the supersymmetric recursion relations we argue that the light-cone supergraphs predict all loop finiteness of d=4 N=8 supergravity.

38 p

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Cited by in corpus (25)

• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• A simple approach to counterterms in N=8 supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• The Tree Formula for MHV Graviton Amplitudes
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• N=8 Counterterms and E7(7) Current Conservation
• Superconformal symmetry and maximal supergravity in various dimensions
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• SUSY Ward identities, Superamplitudes, and Counterterms
• Observations on Arithmetic Invariants and U-Duality Orbits in N =8 Supergravity
• Divergences and Boundary Modes in N=8 Supergravity
• A note on N=8 counterterms
• Arguments Against a Finite N=8 Supergravity
• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
• From lightcone actions to maximally supersymmetric amplitudes
• An Update on Perturbative N=8 Supergravity
• Soft-Collinear Supersymmetry
• Generating MHV super-vertices in light-cone gauge
• Light-by-Light Scattering Effect in Light-Cone Supergraphs
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry
• New N=4 SYM Path Integral