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Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian

Schwarz, John H. and Wen, Congkao (2019) Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian. Journal of High Energy Physics, 2019 (8). Art. No. 125. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20190709-160037627

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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, 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP08(2019)125DOIArticle
https://arxiv.org/abs/1907.03485arXivDiscussion Paper
ORCID:
AuthorORCID
Wen, Congkao0000-0002-5174-1576
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.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Royal SocietyUF160350
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
SCOAP3UNSPECIFIED
Subject Keywords:Field Theories in Higher Dimensions; Scattering Amplitudes; Supersymmetric Gauge Theory
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2019-021
Issue or Number:8
Record Number:CaltechAUTHORS:20190709-160037627
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190709-160037627
Official Citation:Schwarz, J.H. & Wen, C. J. High Energ. Phys. (2019) 2019: 125. https://doi.org/10.1007/JHEP08(2019)125
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97018
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:09 Jul 2019 23:36
Last Modified:23 Aug 2019 15:44

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