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New higher-derivative R4 theorems for graviton scattering
1Instituto de Física Teórica, State University of São Paulo, Rua Pamplona 145, 01405-900, São Paulo, SP, Brasil. nberkovi@ift.unesp.br
Physical Review Letters
|August 7, 2007
Summary
This study proves two new multiloop theorems for superstring theory. These findings suggest that d=4 N=8 supergravity is ultraviolet finite up to eight loops, advancing theoretical physics.
Area of Science:
- Theoretical Physics
- String Theory
- Quantum Gravity
Background:
- The nonminimal pure spinor formalism is a key tool in superstring theory.
- Higher-derivative R4 conjectures in superstring theory have significant implications for quantum gravity.
Purpose of the Study:
- To prove two new multiloop theorems related to higher-derivative R4 conjectures.
- To investigate the ultraviolet finiteness of d=4 N=8 supergravity.
Main Methods:
- Utilizing the nonminimal pure spinor formalism for the superstring.
- Applying multiloop calculations to analyze effective actions.
Main Results:
- Proved that for 0
- Demonstrated that for n<=8, perturbative contributions to partial differential(n)R(4) terms in Type IIA and IIB effective actions coincide.
Conclusions:
- The proven theorems support the higher-derivative R4 conjectures.
- Results suggest d=4 N=8 supergravity is ultraviolet finite up to eight loops, a significant finding in quantum gravity.
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