Fusion rules and singular vectors of the \(\text{osp}(1|2)\) current algebra

DOI10.1016/S0550-3213(97)00442-2zbMath0934.81014arXivhep-th/9704065MaRDI QIDQ1366574

Isabel P. Ennes, Alfonso V. Ramallo

Publication date: 10 September 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9704065

zbMATH Keywords

conformal field theorysuperalgebrasKnizhnik-Zamolodchikov equationisotopic formalismrepresentation charactersSugawara recursion relationsVerma module fusion

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ Explicit decompositions of Weyl reflections in affine Lie algebras ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ Modular transformations and invariants in the context of fractional level \(\widehat{\text{sl}}(2|1;\mathbb{C})\) ⋮ Graded parafermions

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