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arXiv · 1907.03485

Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian

John H. Schwarz·Congkao Wen
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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, $\mathbb{LG}(n, 2n)$, and that they correspond to different ways of fixing the ${\rm GL}(n, \mathbb{C})$ symmetry of $\mathbb{LG}(n, 2n)$. 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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John H. Schwarz, Congkao Wen. 2019-07-08. Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian. https://doi.org/10.1007/jhep08(2019)125

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