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Grassmannian geometry of scattering amplitudes

Grassmannian geometry of scattering amplitudes
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Dewey Class 516.35 (DDC 23)
Title Grassmannian geometry of scattering amplitudes (M) / Nima Arkani-Hamed, Jacob Bourjaily, Freddy Cachaz, Alexander Goncharov , Alexander Postnikov, Jaroslav Trnka
Author Arkani-Hamed, Nima
Added Personal Name Arkani-Hamed, Nima
Trnka, Jaroslav
Postnikov, Alexander
Goncharov, Alexander
Cachazo, Freddy
Publication Cambridge, UK : Cambridge University Press , 2016
Physical Details ix, 194 pages : illustrations (black and white) ; 26 cm.
ISBN 978-1-107-08658-6
Contents note Acknowledgements; 1. Introduction; 2. Introduction to on-shell functions and diagrams; 3. Permutations and scattering amplitudes; 4. From on-shell diagrams to the Grassmannian; 5. Configurations of vectors and the positive Grassmannian; 6. Body configurations, graphs, and permutations; 7. The invariant top-form and the positroid stratification; 8. (Super) conformal and dual conformal invariance; 9. Positive diffeomorphisms and Yangian invariance; 10. The kinematical support of physical on-shell forms; 11. Homological identities among Yangian-invariants; 12. (Relatively) orienting canonical coordinate charts on positroids; 13. Classification of Yangian-invariants and their relations; 14. The Yang-Braxter relation and ABJM theories; 15. On-shell diagrams for theories with N<4 supersymmetries; 16. Dual graphs and cluster algebras; 17. On-shell representations of scattering amplitudes; 18. Outlook; References.
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