Relation between represenations of KN and Virasoro algebras

DOI10.1016/0370-2693(89)91121-0zbMath0689.17014OpenAlexW1993965962WikidataQ64038612 ScholiaQ64038612MaRDI QIDQ581641

Jianyong Qiao, Sumit K. Garg

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0370-2693(89)91121-0

zbMATH Keywords

Riemann surfacesconformal field theoryrepresentationsVirasoro algebraKN algebraLie algebra of meromorphic vector fields

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) 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 (4)

Deformation from Virasoro to Krichever-Novikov algebras ⋮ String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras ⋮ Krichever-Novikov algebras for more than two points ⋮ Krichever-Novikov-like bases on punctured Riemann surfaces

Cites Work

• Unnamed Item
• Virasoro-type algebras, Riemann surfaces and strings in Minkowski space
• Infinite conformal symmetry in two-dimensional quantum field theory
• Deformations of complex structures and conformal field theories on Riemann surfaces
• Eigenvalue equations for Krichever–Novikov algebras

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