On principal admissible representations and conformal field theory

DOI10.1016/S0550-3213(99)00252-7zbMath0958.81018arXivhep-th/9812192OpenAlexW3104295271MaRDI QIDQ1572210

Pierre Mathieu, Mark A. Walton

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9812192

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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)

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An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ \(\hat{\mathfrak sl}(2)_{-1/2}\) and the triplet model ⋮ Macdonald index and chiral algebra ⋮ Modular data and Verlinde formulae for fractional level WZW models. II ⋮ Generating-function method for fusion rules ⋮ \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study ⋮ Fusion in coset CFT from admissible singular-vector decoupling

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