On Absence of 3-loop Divergence in N=4 Supergravity
High Energy Physics - Theory
2013-05-30 v1
Abstract
We argue that N=4 supergravity is 3-loop UV finite because the relevant supersymmetric candidate counterterm is known to be SL(2, R)x SO(6) invariant, which violates the Noether-Gaillard-Zumino current conservation. Analogous arguments, based on the universality properties of groups of type E7, also apply to N=5,6,8 in 4,5,7 loops, respectively, since the 1/N BPS invariants break duality symmetry between Bianchi identities and quantum corrected vector field equations.
Cite
@article{arxiv.1202.4690,
title = {On Absence of 3-loop Divergence in N=4 Supergravity},
author = {Renata Kallosh},
journal= {arXiv preprint arXiv:1202.4690},
year = {2013}
}
Comments
5 pages