Yangians, Integrable Quantum Systems and Dorey's rule

Abstract

We study tensor products of fundamental representations of Yangians and show that the fundamental quotients of such tensor products are given by Dorey's rule.

We have made corrections to the results for the Yangians associated to the non--simply laced algebras

References in corpus (4)

• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Affine Toda Solitons and Vertex Operators
• The full set of $c_n$-invariant factorized $S$-matrices
• On the bootstrap structure of Yangian-invariant factorized S-matrices

Cited by in corpus (37)

• Introduction to Yangian symmetry in integrable field theory
• Local conserved charges in principal chiral models
• On the R-matrix realization of Yangians and their representations
• Conserved charges and supersymmetry in principal chiral and WZW models
• On the universal Representation of the Scattering Matrix of Affine Toda Field Theory
• Twisted algebra R-matrices and S-matrices for $b_n^{(1)}$ affine Toda solitons and their bound states
• Quantum, higher-spin, local charges in symmetric space sigma models
• Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states
• Q-data and representation theory of untwisted quantum affine algebras
• Integrable Sigma-models and Drinfeld-Sokolov Hierarchies
• Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm
• Categorical relations between Langlands dual quantum affine algebras: Exceptional cases
• Conserved Charges and Supersymmetry in Principal Chiral Models
• Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• Local Weyl modules and cyclicity of tensor products for Yangians
• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III
• Yangians and their applications
• Tensor products, characters, and blocks of finite-dimensional representations of quantum affine algebras at roots of unity
• Poles of finite-dimensional representations of Yangians
• Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
• Twisted Coxeter elements and folded AR-quivers via Dynkin diagram automorphisms: I
• From Twisted Quantum Loop Algebras to Twisted Yangians
• Many-spinon states and representations of Yangians in the SU(n) Haldane--Shastry model
• String diagrams and categorification
• Dorey's Rule and the q-Characters of Simply-Laced Quantum Affine Algebras
• Three-vertex prime graphs and reality of trees
• Algebraic K-Theory and Partition Functions in Conformal Field Theory
• Supersymmetric Harmonic Maps into Lie Groups
• Braid group actions and tensor products for Yangians
• Braid group actions, Baxter polynomials, and affine quantum groups
• Twisted Quantum Affine Algebras
• Categorical relations between Langlands dual quantum affine algebras: Doubly laced types
• Local Weyl modules and cyclicity of tensor products for Yangians of $G_2$
• Quantum affine Toda solitons
• Drinfeld Realization of Affine Quantum Algebras: The Relations
• Quantum Affine Algebras at Roots of Unity