On the finiteness of N=8 quantum supergravity

Abstract

We describe the constraints imposed on quantum maximal supergravity theories in perturbation theory by the two duality frameworks: S-duality in superstring theory and the AdS/CFT holographic correspondence between IIB superstring theory and N=4 super Yang-Mills theory.

arXiv commentLaTeX, 11 pages, references added

Cited by in corpus (13)

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• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• Superconformal symmetry and maximal supergravity in various dimensions
• Spectrum Generating Conformal and Quasiconformal U-Duality Groups, Supergravity and Spherical Vectors
• Minimal unitary representation of SO*(8) = SO(6,2) and its SU(2) deformations as massless 6D conformal fields and their supersymmetric extensions
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• Scalar Field Theory in the Derivative Expansion
• Integrability in String Theories
• N=4 Supersymmetric Gauge Theory in the Derivative Expansion
• Symmetry Algebra of IIB Superstring Scattering