Universal W-Algebras in Quantum Field Theory

DOI10.1142/S0217751X91001428zbMath0749.17023MaRDI QIDQ3987166

Ioannis Bakas, Elias Kiritsis

Publication date: 28 June 1992

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

representationintegrable systemshyper- Kähler geometriesuniversal \(W\)-algebras

Mathematics Subject Classification ID

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) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Applications of global differential geometry to the sciences (53C80)

Related Items (4)

Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra ⋮ Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra ⋮ Symmetry algebras of the potential Nizhnik–Novikov–Veselov model ⋮ Large-\(N\) limits of 2d CFTs, quivers and \(\mathrm{AdS}_3\) duals

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