Absence of 3-loop divergence in N=4 supergravity

作者：Kallosh Renata^*

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2012, 85(8): 081702.

DOI：10.1103/PhysRevD.85.081702

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 supersymmetry invariants, integrals over the fraction of the superspace, break duality symmetry between Bianchi identities and quantum-corrected vector field equations.

• 出版日期2012-4-27