E{7(7)} Symmetry and Finiteness of N=8 Supergravity
High Energy Physics - Theory
2015-05-27 v1 General Relativity and Quantum Cosmology
Abstract
We study N=8 supergravity deformed by the presence of the candidate counterterms. We show that even though they are invariant under undeformed E{7(7)}, all of the candidate counterterms violate the deformed E{7(7)} current conservation. The same conclusion follows from the uniqueness of the Lorentz and SU(8) covariant, E{7(7)} invariant unitarity constraint expressing the 56-dimensional E{7(7)} doublet via 28 independent vectors. Therefore E{7(7)} duality predicts the all-loop UV finiteness of perturbative N=8 supergravity.
Cite
@article{arxiv.1103.4115,
title = {E{7(7)} Symmetry and Finiteness of N=8 Supergravity},
author = {Renata Kallosh},
journal= {arXiv preprint arXiv:1103.4115},
year = {2015}
}
Comments
18 pages