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Combinatorial aspects of scattering amplitudes = amplituhedra, T-duality, and cluster algebras /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Combinatorial aspects of scattering amplitudes/ by Matteo Parisi.
其他題名:	amplituhedra, T-duality, and cluster algebras /
作者:	Parisi, Matteo.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xxiii, 219 p. :illustrations (chiefly color), digital ; : 24 cm.;
附註:	"Doctoral thesis accepted by University of Oxford, Oxford, UK."
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-41069-7
ISBN:	9783031410697

Combinatorial aspects of scattering amplitudes = amplituhedra, T-duality, and cluster algebras /
Parisi, Matteo.

Combinatorial aspects of scattering amplitudesamplituhedra, T-duality, and cluster algebras /[electronic resource] :by Matteo Parisi. - Cham :Springer Nature Switzerland :2023. - xxiii, 219 p. :illustrations (chiefly color), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral thesis accepted by University of Oxford, Oxford, UK."

1. Introduction -- 2. The Amplituhedron -- 3. The Hypersimplex -- 4. T-duality: the Hypersimplex VS the Amplituhedron -- 5. Positroid Triangulations -- 6. The Momentum Amplituhedron -- 7. Cluster Algebras and Amplituhedra -- 8. Conclusions.

This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics. It is at the forefront of the recent paradigm shift according to which physical observables emerge from geometry and combinatorics. It is the first book on the amplituhedron, which encodes the scattering amplitudes of N=4 Yang-Mills theory, a cousin of the theory of strong interactions of quarks and gluons. Amplituhedra are generalizations of polytopes inside the Grassmannian, and they build on the theory of total positivity and oriented matroids. This book unveils many new combinatorial structures of the amplituhedron and introduces a new important related object, the momentum amplituhedron. Moreover, the work pioneers the connection between amplituhedra, cluster algebras and tropical geometry. Combining extensive introductions with proofs and examples, it is a valuable resource for researchers investigating geometrical structures emerging from physics for some time to come.

ISBN: 9783031410697

Standard No.: 10.1007/978-3-031-41069-7doiSubjects--Topical Terms:

669175
Applications of Mathematics.

LC Class. No.: QC174.45

Dewey Class. No.: 530.143

Combinatorial aspects of scattering amplitudes = amplituhedra, T-duality, and cluster algebras /
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