Abstract
Recently, twistor-like formulations of tree amplitudes involving n massless particles have been proposed for various 6D supersymmetric theories. The formulas are based on two different forms of the scattering equations: one based on rational maps and the other based on polarized scattering equations. We show that both formulations can be interpreted in terms of a symplectic (or complex Lagrangian) Grassmannian, \( \mathbbm{LG} \)(n, 2n), and that they correspond to different ways of fixing the GL(n, ℂ) symmetry of \( \mathbbm{LG} \)(n, 2n). This provides an understanding of the equivalence of these different-looking formulas, and it leads to new twistor-like formulas for 6D superamplitudes.
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ArXiv ePrint: 1907.03485
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Schwarz, J.H., Wen, C. Unified formalism for 6D superamplitudes based on a symplectic Grassmannian. J. High Energ. Phys. 2019, 125 (2019). https://doi.org/10.1007/JHEP08(2019)125
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DOI: https://doi.org/10.1007/JHEP08(2019)125