Minimal Basis for Gauge Theory Amplitudes

Abstract

Identities based on monodromy for integrations in string theory are used to derive relations between different color ordered tree-level amplitudes in both bosonic and supersymmetric string theory. These relations imply that the color ordered tree-level n-point gauge theory amplitudes can be expanded in a minimal basis of (n-3)! amplitudes. This result holds for any choice of polarizations of the external states and in any number of dimensions.

v2: typos corrected, some rephrasing of the general discussion. Captions to figures added. Version to appear in PRL. 4 pages, 5 figures

References in corpus (7)

• New Relations for Gauge-Theory Amplitudes
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• The open superstring 5-point amplitude revisited
• Multi-Gluon Scattering in Open Superstring Theory
• MHV, CSW and BCFW: field theory structures in string theory amplitudes
• New Relations for Gauge-Theory Amplitudes with Matter

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