The Ultraviolet Finiteness of N=8 Supergravity

Details The Ultraviolet Finiteness of N=8 Supergravity The Ultraviolet Finiteness of N=8 Supergravity

2010-09-06

arxiv.org/abs/1009.1135v2

JHEP 1012:009,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/JHEP12(2010)009

We study counterterms (CT's), candidates for UV divergences in the four-dimensional N=8 supergravity. They have been constructed long ago in a Lorentz covariant on shell superspace and recently in the chiral light-cone (LC) superspace. We prove that all of these CT's are ruled out since they are not available in the real LC superspace. This implies the perturbative UV finiteness of d=4 N=8 supergravity under the assumption that supersymmetry and continuous E7 symmetry are anomaly-free. The proof, based on the chiral nature of CT's in the LC superspace, is a generalization of the perturbative F-term non-renormalization theorem for N=8 supergravity.

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