Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
Abstract
In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in SYM. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral representation in spinor helicity, twistor and momentum twistor parameterizations. The presented conjecture is successfully checked against BCFW results for MHV, NMHV and NMHV off-shell amplitudes. We have also verified that our Grassmannian integral representation correctly reproduces soft (on-shell) limit for the off-shell gluon momentum. It is shown that the (deformed) off-shell amplitude expressions could be also obtained using quantum inverse scattering method for auxiliary super spin chain.
Cite
@article{arxiv.1607.02320,
title = {Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM},
author = {L. V. Bork and A. I. Onishchenko},
journal= {arXiv preprint arXiv:1607.02320},
year = {2017}
}
Comments
55 pages, 7 figures; v2: minor changes, typos corrected, references added