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Published August 2019 | Submitted + Published
Journal Article Open

Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian


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, LG(n; 2n), and that they correspond to different ways of fixing the GL(n;C) symmetry of 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.

Additional Information

© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: July 18, 2019; Accepted: August 14, 2019; Published: August 22, 2019. We would like to thank Freddy Cachazo, Alfredo Guevara, Matthew Heydeman, and Sebastian Mizera for collaboration at an early stage of this project. We also thank Henrik Johansson, Lionel Mason and Shun-Qing Zhang for helpful discussions. We are grateful to Freddy Cachazo, Alfredo Guevara, and Sebastian Mizera for insightful comments on early drafts. C.W. is supported by a Royal Society University Research Fellowship No. UF160350. J.H.S. is supported in part by the Walter Burke Institute for Theoretical Physics at Caltech and by U.S. DOE Grant DE-SC0011632. We thank the Galileo Galilei Institute for Theoretical Physics and the INFN for hospitality and partial support during the workshop "String theory from a worldsheet perspective", where part of this work has been done.

Attached Files

Published - Schwarz-Wen2019_Article_UnifiedFormalismFor6DSuperampl.pdf

Submitted - 1907.03485.pdf


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