An R^4 non-renormalisation theorem in N=4 supergravity

Piotr Tourkine (1) , P. Vanhove (1, 2)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 IHES - Institut des Hautes Études Scientifiques

We consider the four-graviton amplitudes in CHL constructions providing four-dimensional N=4 models with various numbers of vector multiplets. We show that in these models the two-loop amplitude factorizes a d^2R^4. This implies a non-renormalisation theorem for the R^4 term, which forbids the appearance of a three-loop ultraviolet divergence in four dimensions in the four-graviton amplitude. We connect the special nature of the R^4 term to the U(1) anomaly of pure N=4 supergravity.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Piotr Tourkine, P. Vanhove. An R^4 non-renormalisation theorem in N=4 supergravity. 2012. ⟨hal-00671301⟩