The Kazhdan–Lusztig conjecture for 𝒲 algebras

DOI10.1063/1.531584zbMath0862.17020arXivhep-th/9508020OpenAlexW2035686804WikidataQ123014443 ScholiaQ123014443MaRDI QIDQ5284808

Peter Van Driel, Koos De Vos

Publication date: 22 January 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9508020

zbMATH Keywords

character formulairreducible highest weight modulesKazhdan-Lusztig conjecture\({\mathcal W}\) algebrasKac-Moody-algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Infrared computations of defect Schur indices ⋮ On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2 ⋮ Constraints on higher spin \(\mathrm{CFT}_{2}\) ⋮ Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras ⋮ Strings from \(N=2\) gauged Wess-Zumino-Witten models ⋮ Affine characters at negative level and elliptic genera of non-critical strings ⋮ Line defect Schur indices, Verlinde algebras and \(\mathrm{U}(1)_{r}\) fixed points ⋮ Infinite chiral symmetry in four dimensions ⋮ Highest weight representations of the \(N=1\) Ramond algebra

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