New higher-derivative R-4 theorems for graviton scattering
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Data
2007-05-24
Autores
Berkovits, Nathan
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American Physical Soc
Resumo
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.
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Physical Review Letters. College Pk: American Physical Soc, v. 98, n. 21, 4 p., 2007.