N=8 Counterterms and E7(7) Current Conservation
High Energy Physics - Theory
2011-06-20 v1
Abstract
We examine conservation of the E7(7) Noether-Gaillard-Zumino current in the presence of N=8 supergravity counterterms using the momentum space helicity formalism, which significantly simplifies the calculations. The main result is that the 4-point counterterms at any loop order L are forbidden by the E7(7) current conservation identity. We also clarify the relation between linearized and full non-linear superinvariants as candidate counterterms. This enables us to show that all n-point counterterms at L=7, 8 are forbidden since they provide a non-linear completions of the 4-point ones. This supports and exemplifies our general proof in arXiv:1103.4115 of perturbative UV finiteness of N=8 supergravity.
Cite
@article{arxiv.1104.5480,
title = {N=8 Counterterms and E7(7) Current Conservation},
author = {Renata Kallosh},
journal= {arXiv preprint arXiv:1104.5480},
year = {2011}
}
Comments
18 pages