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Journal Article

Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20704

Brödel,  Johannes
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1004.2400
(Preprint), 167KB

JHEP2010_054.pdf
(Any fulltext), 596KB

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Citation

Brödel, J., & He, S. (2010). Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory. Journal of High Energy Physics, 2010(06): 054. doi:10.1007/JHEP06(2010)054.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-9D34-3
Abstract
Infrared equations and dual conformal constraints arise as consistency conditions on loop amplitudes in N=4 super Yang-Mills theory. These conditions are linear relations between leading singularities, which can be computed in the Grassmannian formulation of N=4 super Yang-Mills theory proposed recently. Examples for infrared equations have been shown to be implied by global residue theorems in the Grassmannian picture. Both dual conformal constraints and infrared equations are mapped explicitly to global residue theorems for one-loop next-to-maximally-helicity-violating amplitudes. In addition, the identity relating the BCFW and its parity-conjugated form of tree-level amplitudes, is shown to emerge from a particular combination of global residue theorems.