Fusion algebras of fermionic rational conformal field theories via a generalized Verlinde formula

DOI10.1016/0550-3213(94)90434-0zbMath1007.81546arXivhep-th/9307031OpenAlexW1966921548MaRDI QIDQ1967627

Ralf Hübel, Wolfgang Eholzer

Publication date: 6 March 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9307031

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 (7)

An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Notes on \(d\)-branes and dualities in \((p,q)\) minimal superstring theory ⋮ Unitary and non-unitary \(N=2\) minimal models ⋮ Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\). ⋮ Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector

Cites Work

• Fusion rules and modular transformations in 2D conformal field theory
• Unitary representations of the Virasoro and super-Virasoro algebras
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantum field theory and the Jones polynomial
• Coset construction for extended Virasoro algebras
• Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
• \({\mathcal W}\)-algebras, new rational models and completeness of the \(c=1\) classification
• On the completeness of the set of classical \({\mathcal W}\)-algebras obtained from DS reductions
• Conformal characters and theta series
• Null vectors of the superconformal algebra: the Ramond sector.
• REPRESENTATIONS OF N=1 EXTENDED SUPERCONFORMAL ALGEBRAS WITH TWO GENERATORS
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• THE CONFORMAL BOOTSTRAP AND SUPER W ALGEBRAS
• NEW N=1 EXTENDED SUPERCONFORMAL ALGEBRAS WITH TWO AND THREE GENERATORS
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