From CFT to graphs

DOI10.1016/0550-3213(95)00670-2zbMath1004.81551arXivhep-th/9510175OpenAlexW2030719939MaRDI QIDQ1908383

Valentina B. Petkova, Jean-Bernard Zuber

Publication date: 27 February 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9510175

zbMATH Keywords

linear systemorbifoldsgraphsoperator product algebra structure constantsPasquier algebra matrix elements

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (23)

Boundary states for WZW models ⋮ Twisted boundary states and representation of generalized fusion algebra ⋮ Graphs and reflection groups ⋮ Graph fusion algebras of \({\mathcal WLM}((p,p')\) ⋮ The fully packed loop model as a non-rationalW₃conformal field theory ⋮ Solitonic sectors, \(\alpha\)-induction and symmetry breaking boundaries ⋮ Boundary conditions in rational conformal field theories. ⋮ Schubert calculus and threshold polynomials of affine fusion ⋮ The many faces of Ocneanu cells ⋮ Minimal model boundary flows and c=1 CFT ⋮ Integrable lattice realizations of conformal twisted boundary conditions ⋮ FUSION RULES OF MODULAR INVARIANTS ⋮ WZW BRANES AND GERBES ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Conformal correlation functions, Frobenius algebras and triangulations ⋮ Boundary conformal field theory and fusion ring representations ⋮ Boundary deformation theory and moduli spaces of D-branes ⋮ Boundary conditions in rational conformal field theories ⋮ Identities in Representations of the Hecke Algebra ⋮ On discrete symmetries in \(su(2)\) and \(su(3)\) affine theories and related graphs ⋮ TFT construction of RCFT correlators. I: Partition functions ⋮ Non-periodic Ishibashi states: the su(2) and su(3) affine theories ⋮ Orientation matters for NIMreps

Cites Work

• Unnamed Item
• Unnamed Item
• Fusion rules and modular transformations in 2D conformal field theory
• Classical and quantum 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
• Modular and conformal invariance constraints in representation theory of affine algebras
• 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.
• On the classification of diagonal coset modular invariants
• Graphs and reflection groups
• Automorphism modular invariants of current algebras
• G_N ⊗ G_L/G_N+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
• INTEGRABLE LATTICE MODELS, GRAPHS AND MODULAR INVARIANT CONFORMAL FIELD THEORIES
• Modular invariance and the fusion algebra

This page was built for publication: From CFT to graphs