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We derive an explicit formula for factorizing an n-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite… (More)

We discuss monodromy relations between different color-o rdered amplitudes in gauge theories. We show that Jacobi-like relations of Ber n, Carrasco and Johansson can be introduced in a manner that is… (More)

Using BCFW on-shell recursion techniques, we prove a seque nce of explicitn-point Kawai-Lewellen-Tye relations between gravity and Yang-Mi lls amplitudes at tree level.

We investigate the existence of relations for finite one-loop amplitudes in YangMills theory. Using a diagrammatic formalism and a remarkable connection between tree and loop level, we deduce… (More)

Introduction. A most astonishing connection between Einstein gravity and color-ordered Yang-Mills tree amplitude s is provided by the Kawai-Lewellen-Tye (KLT) relations [1]. Th e infinite sequence of… (More)

Color-ordered amplitudes in gauge theories satisfy non-li near identities involving amplitude products of di fferent helicity configurations. We consider the origin of such iden tities and connect… (More)

We study the perturbative expansion of N=8 supergravity in four dimensions from the viewpoint of the ``no-triangle'' hypothesis, which states that one-loop graviton amplitudes in N=8 supergravity… (More)

We formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar φ-theory. This formalism… (More)

We consider scattering in quantum gravity and derive long-range classical and quantum contributions to the scattering of light-like bosons and fermions (spin-0, spin1 2 , spin-1) from an external… (More)

At tree-level, gravity amplitudes are obtainable directly from gauge theory amplitudes via the Kawai, Lewellen and Tye closed-open string relations. We explain how the unitarity method allows us to… (More)