Eigensystem and full character formula of the \(\mathcal W_{1+\infty}\) algebra with \(c=1\)

DOI10.1007/BF00762791zbMath0806.17026arXivhep-th/9312208OpenAlexW1591961044MaRDI QIDQ1334967

Masafumi Fukuma, Satoru Odake, Hidetoshi Awata, Yas-Hiro Quano

Publication date: 26 September 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312208

zbMATH Keywords

eigenvaluesrepresentationcentral chargesCartan subalgebracharacter formulafree field realizationsfree fermionsfree bosons

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (6)

Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra ⋮ Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra ⋮ Chiral deformations of conformal field theories ⋮ Combinatorial expansions of conformal blocks ⋮ TWISTED VERTEX OPERATORS AND BERNOULLI POLYNOMIALS ⋮ Free fermions, KdV charges, generalised Gibbs ensembles and modular transforms

Cites Work

• Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS

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