New Higher-Derivative R{sup 4} Theorems for Graviton Scattering

Journal Article · Fri May 25 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.211601· OSTI ID:20951387

Berkovits, Nathan ^[1]

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1. Instituto de Fisica Teorica, State University of Sao Paulo, Rua Pamplona 145, 01405-900, Sa Paulo, SP (Brazil)

The nonminimal pure spinor formalism for the superstring is used to prove two new multiloop theorems which are related to recent higher-derivative R{sup 4} conjectures of Green, Russo, and Vanhove. The first theorem states that when 0<n<12, {partial_derivative}{sup n}R{sup 4} 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 {partial_derivative}{sup n}R{sup 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.

• OSTI ID: 20951387
• Journal Information: Physical Review Letters, Vol. 98, Issue 21; Other Information: DOI: 10.1103/PhysRevLett.98.211601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACTION INTEGRAL
GRAVITONS
SCATTERING
SUPERGRAVITY
SUPERSTRING MODELS
ULTRAVIOLET RADIATION