Bjerrum-Bohr N.E.J. (The Niels Bohr Institute Blegdamsvej 17, DK-2100 Copenhagen, DENMARK) Damgaard P.H. (The Niels Bohr Institute Blegdamsvej 17, DK-2100 Copenhagen, DENMARK) Vanhove P. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
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.