Graphs and reflection groups

DOI10.1007/BF02102590zbMath0942.20018arXivhep-th/9507057MaRDI QIDQ1924045

Jean-Bernard Zuber

Publication date: 29 May 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9507057

zbMATH Keywords

topological field theoriesgraphsroot systemsconformal field theoriesreflection groupstwo-dimensional field theoriesADE Dynkin diagrams

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Applications of Lie (super)algebras to physics, etc. (17B81) Topological field theories in quantum mechanics (81T45)

Related Items

On the signature of certain intersection forms, From CFT to graphs, Superconformal coset equivalence from level-rank duality, Fusion rules for admissible representations of affine algebras: the case of \(A_2^{(1)}\), Primitive forms for Gepner singularities, A classification programme of generalized Dynkin diagrams, Conformal blocks in the tensor product of vector representations and localization formulas, Schubert calculus and threshold polynomials of affine fusion, Boundary rings and \(N=2\) coset models, The Hilbert space of large \(N\) Chern-Simons matter theories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Fusion rules and modular transformations in 2D conformal field theory
• Topological--anti-topological fusion.
• Modular invariant partition functions in two dimensions
• Fusion rings and geometry
• Hamiltonian formalism of Whitham-type hierarchies and topological Landau- Ginsburg models
• Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
• On classification of \(N=2\) supersymmetric theories
• The classification of affine \(SU(3)\) modular invariant partition functions
• On structure constants of \(\text{sl}(2)\) theories.
• Discrete groups generated by reflections
• From CFT to graphs
• Automorphisms of finite order of semisimple Lie algebras
• The product of the generators of a finite group generated by reflections
• TOPOLOGICAL LANDAU-GINZBURG MODELS
• ON DUBROVIN TOPOLOGICAL FIELD THEORIES
• G_N ⊗ G_L/G_N+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
• Wavefronts and reflection groups
• ON THE GENUS EXPANSION IN THE TOPOLOGICAL STRING THEORY
• Level one Kac-Moody characters and modular invariance