Abstract
Abstract: Scattering amplitudes in 4d N=4 super Yang-Mills theory (SYM) can be described by Grassmannian contour integrals whose form depends on whether the external data is encoded in momentum space, twistor space, or momentum twistor space. After a pedagogical review, we present a new, streamlined proof of the equivalence of the three integral formulations. A similar strategy allows us to derive a new Grassmannian integral for 3d N=6 ABJM theory amplitudes in momentum twistor space: it is a contour integral in an orthogonal Grassmannian with the novel property that the internal metric depends on the external data. The result can be viewed as a central step towards developing an amplituhedron formulation for ABJM amplitudes. Various properties of Grassmannian integrals are examined, including boundary properties, pole structure, and a homological interpretation of the global residue theorems for N=4 SYM.
Original language | English (US) |
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Article number | 181 |
Journal | Journal of High Energy Physics |
Volume | 2014 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2014 |
Externally published | Yes |
Keywords
- Differential and Algebraic Geometry
- Scattering Amplitudes
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics