Abstract
The gluing operation is an effective way to get form factors of both local and non-local operators starting from different representations of on-shell scattering amplitudes. In this paper it is shown how it works on the example of form factors of operators from stress-tensor operator supermultiplet in Grassmannian and spinor helicity representations.
Highlights
N = 4 Super Yang-Mills theory (SYM) turns out to be a very popular object for theoretical research
The Grassmannian integral representation for the amplitude is of particular interest, since it makes symmetry properties of the amplitudes manifest and relates scattering amplitudes to on-shell diagrams [4]
3 Gluing operation & Grassmannian integral representation. As it was pointed out in the beginning, there were some difficulties with obtaining the grassmannian integral representation for the form factor, which was explained by the fact that form factors are partially off-shell quantities
Summary
N = 4 Super Yang-Mills theory (SYM) turns out to be a very popular object for theoretical research. This is due to the development of new techniques, such as recursive methods for tree-level amplitudes, on-shell diagrams and so on (see [3] for review), allowing to obtain analytical results for the matrix elements of the S-matrix. The Grassmannian integral representation for the amplitude is of particular interest, since it makes symmetry properties of the amplitudes manifest and relates scattering amplitudes to on-shell diagrams [4]. It was especially interesting to obtain the Grassmannian integral representation for form factors, which was done in [1] and [2] in slightly different ways. The purpose of this article is to check formulae, obtained in [1] and [2] for different representations, i.e. for the Grassmannian integral and spinor helicity representations
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