Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Combinatorial Aspects of Scattering Amplitudes: Amplituhedra, T-Duality, and Cluster Algebras

Combinatorial Aspects of Scattering Amplitudes: Amplituhedra, T-Duality, and Cluster Algebras

Parisi, Matteo

Hardcover

Series: Springer Theses

General MathematicsGeometryPhysics

ISBN10: 3031410688
ISBN13: 9783031410680
Publisher: Springer
Published: Dec 12 2023
Pages: 219
Weight: 1.14
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English

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.

Also in

Physics

View All