Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus

DOI10.1063/1.2714000zbMath1137.81346arXivmath-ph/0610073OpenAlexW3100321358MaRDI QIDQ3442286

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Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0610073

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Symmetry breaking in quantum theory (81R40)

Related Items (6)

On some properties of \(\operatorname{SU}(3)\) fusion coefficients ⋮ Theta Functions for Lattices of SU(3) Hyper-Roots ⋮ Module categories over finite pointed tensor categories ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Module categories over pointed Hopf algebras. ⋮ Exceptional quantum subgroups for the rank two Lie algebras B2 and G2

Cites Work

• Unnamed Item
• Unnamed Item
• Comments about quantum symmetries of \(\text{SU}(3)\) graphs
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• New braided endomorphisms from conformal inclusions
• Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
• Modular invariants. Graphs and \(\alpha\)-induction for nets of subfactors. II
• Braided tensor categories
• The classification of affine \(SU(3)\) modular invariant partition functions
• Module categories, weak Hopf algebras and modular invariants
• Modular invariants from subfactors: type I coupling matrices and intermediate subfactors
• Matrix quantum mechanics and soliton regularization of noncommutative field theory
• TFT construction of RCFT correlators. I: Partition functions
• On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
• Invariants of knots and 3-manifolds from quantum groupoids
• Chiral structure of modular invariants for subfactors
• On quantum symmetries of the non-ADE graph \(F_4\)
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
• INTEGRABLE LATTICE MODELS, GRAPHS AND MODULAR INVARIANT CONFORMAL FIELD THEORIES
• STABILIZER ORBIT OF VIRASORO ACTION AND INTEGRABLE SYSTEMS
• Determination of quantum symmetries for higher ADE systems from the modular T matrix
• Higher Coxeter graphs associated with affine su(3) modular invariants
• The many faces of Ocneanu cells

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