Irrational free field resolutions for \(W(sl(n))\) and extended Sugawara construction

DOI10.1007/BF02100861zbMath0769.17013MaRDI QIDQ1200511

Max R. Niedermaier

Publication date: 16 January 1993

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

zbMATH Keywords

conformal field theoryquantum groupKac-Moody algebras\(W\)-algebrasirreducible modulescharacter formulaextended conformal algebrasFock space resolutionMiura-type free field realizations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (5)

String theory as a higher spin theory ⋮ \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\) ⋮ Higher spin JT gravity and a matrix model dual ⋮ Conical defects and \( \mathcal{N}=2 \) higher spin holography ⋮ GLM equations, tau function and scattering data

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