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Quantum Integrability and Combinatorics

 

Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description
 

This book is dedicated to the study of identities observed at the interface between integrable models in statistical physics and combinatorics. The story begins in the 80s when Mills, Robbins and Rumsey found a surprising relation between Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions: they are equal in number, which was later proved by Zeilberger. Shortly after, Kuperberg used quantum integrability (concept coming from statistical physics), to gave a simpler and more elegant proof. Years after, Razumov and Stroganov conjectured one intriguing relation between the Alternating Sign Matrices and the XXZ chain spin model, also integrable. This conjecture was proved by Cantini and Sportiello in 2010. This work should shed some light on the role of integrability in this story, notably, the role played by the quantum Knizhnik-Zamolodchikov equation. Moreover, the interested reader will find here the proof of several delightful conjectures and some new ones.

Product Specifications
SKU :COC33039
AuthorTiago Dinis da Fonseca
LanguageEnglish
BindingPaperback
Number of Pages164
Publishing Year11/26/2010
ISBN978-3843374996
Edition1 st
Book TypePhysics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-29 00:00:00
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