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

Details On Absence of 3-loop Divergence in N=4 Supergravity On Absence of 3-loop Divergence in N=4 Supergravity

2012-02-21

arxiv.org/abs/1202.4690v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

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.

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