N=8 supergravity on the light cone

Journal Article · Sun Nov 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.105022· OSTI ID:21313412

Kallosh, Renata ^[1]

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1. Department of Physics, Stanford University, Stanford, California 94305 (United States)

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 the unconstrained light-cone chiral scalar superfield, this functional provides a regular d=4 quantum field theory 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 nonlocal in transverse directions for the diagrams with the number of loops smaller than at least n+3. 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. Using the E{sub 7(7)} symmetry we argue that the light-cone supergraphs predict all-loop finiteness of d=4 N=8 supergravity.

• OSTI ID: 21313412
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CALCULATION METHODS
CHIRAL SYMMETRY
CHIRALITY
CONSTRUCTION
CORRECTIONS
FOURIER TRANSFORMATION
LIGHT CONE
PARTICLES
QUANTUM FIELD THEORY
SUPERGRAVITY
SYMMETRY