منابع مشابه
Root Systems and Dynkin Diagrams
In 1969, Murray Gell-Mann won the nobel prize in physics “for his contributions and discoveries concerning the classification of elementary particles and their interactions.” He is the scientist who first used the word quark, and he was the first to describe the SU3(C) flavor symmetry of the hadrons. By organizing the particles according to the root system of the lie algebra su3(C) associated t...
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We investigate N = 2 supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to N = 2 superconformal field theories. Using the equations of topological-anti-topological fusion for the topological orbifold, we compute the generalized Dynkin diagrams of these theories i.e., the soliton spectrum which was used in the classification of massive superconformal t...
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Tropical friezes are the tropical analogues of Coxeter-Conway frieze patterns. In this note, we study them using triangulated categories. A tropical frieze on a 2-Calabi-Yau triangulated category C is a function satisfying a certain addition formula. We show that when C is the cluster category of a Dynkin quiver, the tropical friezes on C are in bijection with the n-tuples in Z, any tropical fr...
متن کاملSolvable lattice models labelled by Dynkin diagrams
An equivalence between generalised restricted solid-on-solid (RSOS) models, associated with sets of graphs, and multi-colour loop models is established. As an application we consider solvable loop models and in this way obtain new solvable families of critical RSOS models. These families can all be classified by the Dynkin diagrams of the simply-laced Lie algebras. For one of the RSOS models, l...
متن کاملThe Dynkin Diagrams of Rational Double Points
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2002
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00148-5