Monodromy and Jacobi-like relations for color-ordered amplitudes. (English) Zbl 1290.83015
Summary: We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level.
MSC:
| 83C45 | Quantization of the gravitational field |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 83E50 | Supergravity |
| 14D05 | Structure of families (Picard-Lefschetz, monodromy, etc.) |
Keywords:
superstrings and heterotic strings; gauge symmetry; bosonic strings; models of quantum gravityReferences:
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