From Jack polynomials to minimal model spectra

DOI10.1088/1751-8113/48/4/045201zbMath1320.17018arXiv1409.4847OpenAlexW2093725119MaRDI QIDQ5175165

David Ridout, Simon Wood

Publication date: 20 February 2015

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

Full work available at URL: https://arxiv.org/abs/1409.4847

zbMATH Keywords

conformal field theoryvertex operator algebrasymmetric polynomialsminimal modelsJack polynomials

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (10)

An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ The super-Virasoro singular vectors and Jack superpolynomials relationship revisited ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Tensor categories arising from the Virasoro algebra ⋮ Singular vectors for the WN algebras ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ A slow review of the AGT correspondence ⋮ Superconformal minimal models and admissible Jack polynomials

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