Cross-Order Relations in N=4 Supersymmetric Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

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6 pages, talk given at the 3rd International Symposium on Quantum Theory and Symmetries, Cincinnati, OH, Sept 10-14, 2003; v2:

Scientific paper

The anti-de Sitter/conformal field theory duality conjecture raises the question of how the perturbative expansion in the conformal field theory can resum to a simple function. We exhibit a relation between the one-loop and two-loop amplitudes whose generalization to higher-point and higher-loop amplitudes would answer this question. We also provide evidence for the first of these generalizations.

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