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arXiv · 1202.4690

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

Renata Kallosh
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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.

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Renata Kallosh. 2012-02-21. On Absence of 3-loop Divergence in N=4 Supergravity. https://doi.org/10.1103/physrevd.85.081702

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