Boundary conformal field theory and fusion ring representations

DOI10.1016/S0550-3213(01)00632-0zbMath0990.81152arXivhep-th/0106105OpenAlexW3099425603MaRDI QIDQ5960495

Terry Gannon

Publication date: 7 April 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0106105

zbMATH Keywords

modular invariancecurrent algebras1-loop partition function of a closed string

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Nuclear physics (81V35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Boundary states for WZW models ⋮ Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories ⋮ Modular data: the algebraic combinatorics of conformal field theory ⋮ TFT construction of RCFT correlators. III: Simple currents ⋮ TFT construction of RCFT correlators. IV: Structure constants and correlation functions ⋮ Twisted boundary states and representation of generalized fusion algebra ⋮ D-branes in lens spaces ⋮ The fusion algebra of bimodule categories ⋮ Comments on nonunitary conformal field theories ⋮ On the complete classification of unitary \(N = 2\) minimal superconformal field theories ⋮ Twisted boundary states in Kazama-Suzuki models ⋮ Current algebra on the torus ⋮ SUBFACTOR REALIZATION OF MODULAR INVARIANTS: II ⋮ Bulk from boundary in finite CFT by means of pivotal module categories ⋮ Fixed points and fusion rings. Part 1 ⋮ Antisymmetric characters and Fourier duality ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Conformal correlation functions, Frobenius algebras and triangulations ⋮ Boundary states in coset conformal field theories ⋮ Construction of two-dimensional topological field theories with non-invertible symmetries ⋮ TFT construction of RCFT correlators. I: Partition functions ⋮ Novel construction of boundary states in coset conformal field theories ⋮ Non-periodic Ishibashi states: the su(2) and su(3) affine theories ⋮ Orientation matters for NIMreps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conformal field theory
• The level two and three modular invariants of \(SU(n)\)
• New exceptional modular invariant partition functions for simple Kac- Moody algebras
• Fusion rules and modular transformations in 2D conformal field theory
• \({\mathbb{Z}}/N{\mathbb{Z}}\) conformal field theories
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• The operator algebra of orbifold models
• Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. I
• Galois modular invariants of WZW models
• Branes: From free fields to general backgrounds
• D-branes in Gepner models
• Symmetry breaking boundaries. II: More structures; examples
• On discrete symmetries in \(su(2)\) and \(su(3)\) affine theories and related graphs
• The automorphisms of affine fusion rings.
• On fusion algebras and modular matrices
• From CFT to graphs
• Symmetries of the Kac-Peterson modular matrices of affine algebras
• Automorphism modular invariants of current algebras
• Modular data: the algebraic combinatorics of conformal field theory
• The Level 2 and 3 Modular Invariants for the Orthogonal Algebras
• Edge critical behaviour of the two-dimensional tri-critical Ising model
• Open descendants in conformal field theory
• Boundary conditions in rational conformal field theories.
• Finite group modular data
• Completeness conditions for boundary operators in \(2\)D conformal field theory