New higher-derivative R-4 theorems for graviton scattering

Imagem de Miniatura



Título da Revista

ISSN da Revista

Título de Volume


American Physical Soc


The nonminimal pure spinor formalism for the superstring is used to prove two new multiloop theorems which are related to recent higher-derivative R4 conjectures of Green, Russo, and Vanhove. The first theorem states that when 0<n<12, nR4 terms in the Type II effective action do not receive perturbative contributions above n/2 loops. The second theorem states that when n≤8, perturbative contributions to nR4 terms in the IIA and IIB effective actions coincide. As shown by Green, Russo, and Vanhove, these results suggest that d=4 N=8 supergravity is ultraviolet finite up to eight loops. © 2007 The American Physical Society.



Como citar

Physical Review Letters. College Pk: American Physical Soc, v. 98, n. 21, 4 p., 2007.