Four dimensional realization of two dimensional current groups

DOI10.1007/BF02108814zbMath0858.22017OpenAlexW2062224326MaRDI QIDQ1924034

Boris A. Khesin, Igor B. Frenkel

Publication date: 18 March 1997

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

Full work available at URL: https://doi.org/10.1007/bf02108814

zbMATH Keywords

Riemann surfacesLie groupscentral extensionscurrent groupsLeray residue theoryWess-Zumino-Novikov-Witten construction

Mathematics Subject Classification ID

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 groups and their Lie algebras: general properties (22E65)

Related Items (4)

The path group construction of Lie group extensions ⋮ Lie Groups of Bundle Automorphisms and Their Extensions ⋮ A symplectic approach to certain functional integrals and partition functions ⋮ A two-dimensional analogue of the Virasoro algebra

Cites Work

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• Central extensions of current groups in two dimensions
• FINITENESS CONDITIONS FOR MONODROMY OF FAMILIES OF CURVES AND SURFACES
• Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
• Picard-Lefschetz Theorem for Families of Nonsingular Algebraic Varieties Acquiring Ordinary Singularities

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