Determinant formulae of quasi-finite representation of \(W_{1+\infty}\) algebra at lower levels

DOI10.1016/0370-2693(94)91262-9zbMath0894.17020arXivhep-th/9402001OpenAlexW1980518755MaRDI QIDQ811711

Satoru Odake, Masafumi Fukuma, Hidetoshi Awata, Yutaka Matsuo

Publication date: 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9402001

zbMATH Keywords

Verma moduleKac determinantcharacter formulaW-algebrafree fieldsquasi-finite representation

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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)

Related Items (8)

Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra ⋮ Collective field theory, Calogero-Sutherland model and generalized matrix models ⋮ \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\) ⋮ Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra ⋮ Trace of the twisted Heisenberg category ⋮ The central extension defining the super matrix generalization of \(W_{1+\infty}\) ⋮ Generalized macmahon \(G_d(q)\) as q-deformed \(CFT_{2}\) correlation function ⋮ W-ALGEBRAS FROM HEISENBERG CATEGORIES

Cites Work

• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS

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