2006/09/01 by Nathan Berkovits
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevlett.98.211601
published as Phys.Rev.Lett.98:211601,2007 · 10 pages harvmac
arxiv created 2006/09/01 · openalex publication_date 2007/05/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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, partial differential(n)R(4) terms in the Type II effective action do not receive perturbative contributions above n/2 loops. The second theorem states that when n< or =8, perturbative contributions to partial differential(n)R(4) 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.