Fusion algebras for N = 1 superconformal field theories through coinvariants I: (1|2)-symmetry

DOI10.1515/crll.2001.007zbMath0967.17019OpenAlexW2038032989MaRDI QIDQ2703576

Kenji Iohara, Yoshiyuki Koga

Publication date: 7 March 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2001.007

zbMATH Keywords

Kac-Moody algebrassuperalgebrasfusion rulesWZNW models

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (6)

An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ Relaxed highest-weight modules. I: Rank 1 cases ⋮ On complete reducibility for infinite-dimensional Lie algebras ⋮ Enright functors for Kac-Moody superalgebras ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms

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