String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras

DOI10.1007/BF00420515zbMath0774.17027arXivalg-geom/9206002MaRDI QIDQ1202949

Andreas Ruffing, Thomas Deck, Martin Schlichenmaier

Publication date: 20 April 1993

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9206002

zbMATH Keywords

complex torusKrichever-Novikov algebrascentral extensionbosonic stringsVirasoro cocyclepropagation differentialthree symmetric punctures

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (7)

FORMAL AND ANALYTIC RIGIDITY OF THE WITH ALGEBRA ⋮ Krichever–Novikov Type Algebras. A General Review and the Genus Zero Case ⋮ N-point Virasoro algebras are multipoint Krichever–Novikov-type algebras ⋮ Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics ⋮ GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE ⋮ From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond ⋮ Degenerations of generalized Krichever–Novikov algebras on tori

Cites Work

• Unnamed Item
• Relation between represenations of KN and Virasoro algebras
• Krichever-Novikov algebras for more than two points
• Krichever-Novikov algebras for more than two points: explicit generators
• Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points
• Deformations from Virasoro to Krichever-Novikov algebras
• Krichever-Novikov-like bases on punctured Riemann surfaces
• Degenerations of generalized Krichever–Novikov algebras on tori
• On a Lie algebra of vector fields on a complex torus

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