1202.4690 (Renata Kallosh)

On Absence of 3-loop Divergence in N=4 Supergravity    [PDF]

Renata Kallosh

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.

View original: http://arxiv.org/abs/1202.4690