01095nam1 22003011i 450 99000564060040332119990530000564060FED01000564060(Aleph)000564060FED0100056406019990530d1974----km-y0itay50------baitayf------00---2.: 998-1218Le pergamene dell'Archivio Vescovile di RavelloCatello SalvatiNapoliArte Tipografica1974XXIV, 171 p., 4 tav.27 cmUniversita degli studi di Napoli. Istituto di Papeografia e Diplomatica70010005640502001Le pergamene degli archivi vescovili di Amalfi e Ravelloa cura di Jole MazzoleniArchivio vescovile di Amalfi217483Archivio vescovile di RavelloITUNINARICAUNIMARCBK990005640600403321ST.AR. VIII A 25 IIST.ARTE 12899Biblioteca centralizzata della Facoltà di Lettere e FilosofiaFLFBCFLFBC2.: 998-1218605041UNINA03414nam 22006375 450 991076027610332120240703114024.03-031-41069-610.1007/978-3-031-41069-7(MiAaPQ)EBC30878231(Au-PeEL)EBL30878231(DE-He213)978-3-031-41069-7(CKB)28806316500041(OCoLC)1409418094(EXLCZ)992880631650004120231109d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCombinatorial Aspects of Scattering Amplitudes Amplituhedra, T-duality, and Cluster Algebras /by Matteo Parisi1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (237 pages)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061Print version: Parisi, Matteo Combinatorial Aspects of Scattering Amplitudes Cham : Springer,c2023 9783031410680 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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061Particles (Nuclear physics)Quantum field theoryGeometry, AlgebraicMathematicsElementary Particles, Quantum Field TheoryAlgebraic GeometryApplications of MathematicsTeoria quàntica de campsthubLlibres electrònicsthubParticles (Nuclear physics)Quantum field theory.Geometry, Algebraic.Mathematics.Elementary Particles, Quantum Field Theory.Algebraic Geometry.Applications of Mathematics.Teoria quàntica de camps530.143Parisi Matteo1437879MiAaPQMiAaPQMiAaPQBOOK9910760276103321Combinatorial Aspects of Scattering Amplitudes3598710UNINA