\({\mathbb{Z}}/N{\mathbb{Z}}\) conformal field theories

DOI10.1007/BF02096494zbMath0696.17012OpenAlexW2053959623MaRDI QIDQ910482

Pascal Degiovanni

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02096494

zbMATH Keywords

automorphismsmodular invarianceVerlinde formulamodular invariant partition functionsfusion algebrarational conformal field theoriesgenus-one characters

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Quantum field theory; related classical field theories (81T99)

Related Items (17)

The classification of affine \(SU(3)\) modular invariant partition functions ⋮ Modular invariants for affine SU(3){\^{\ }} theories at prime heights ⋮ 2+1-D topological quantum field theory and 2-D conformal field theory ⋮ From CFT to graphs ⋮ Modular invariant partition functions and method of shift vector ⋮ The rank-four heterotic modular invariant partition functions. ⋮ Fusion rule engineering ⋮ \(\mathrm{AdS}_3\) gravity and RCFT ensembles with multiple invariants ⋮ \(U(1)^m\) modular invariants, \(N=2\) minimal models, and the quantum Hall effect ⋮ Boundary conditions in rational conformal field theories. ⋮ Finite group modular data ⋮ FUSION RULES OF MODULAR INVARIANTS ⋮ Poincaré series, 3d gravity and averages of rational CFT ⋮ Boundary conformal field theory and fusion ring representations ⋮ Unnamed Item ⋮ Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of \(\nu= 1/(2p+1)\) quantum Hall sequences ⋮ Boundary conditions in rational conformal field theories

Cites Work

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• Fusion rules and modular transformations in 2D conformal field theory
• Classical and quantum conformal field theory
• Vertex operators in the conformal field theory on \(\mathbb P^1\) and monodromy representations of the braid group
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Infinite conformal symmetry in two-dimensional quantum field theory
• Level one Kac-Moody characters and modular invariance
• Modular invariance and the fusion algebra

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