String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras

Details String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras String Branchings on Complex Tori and Algebraic Representations of Generalized Krichever-Novikov Algebras

1992-06-03

arxiv.org/abs/alg-geom/9206002v2

Mathematics

Algebraic Geometry

11 pages, amstex

Scientific paper

10.1007/BF00420515

The propagation differential for bosonic strings on a complex torus with three symmetric punctures is investigated. We study deformation aspects between two point and three point differentials as well as the behaviour of the corresponding Krichever-Novikov algebras. The structure constants are calculated and from this we derive a central extension of the Krichever-Novikov algebras by means of b-c systems. The defining cocycle for this central extension deforms to the well known Virasoro cocycle for certain kinds of degenerations of the torus. AMS subject classification (1991): 17B66, 17B90, 14H52, 30F30, 81T40

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