Two-Dimensional Conformal Geometry and Vertex Operator Algebras
Yi-Zhi Huang
Gebundenes Buch

Two-Dimensional Conformal Geometry and Vertex Operator Algebras

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The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc tures of conformal field theories. Much of the recent progress has deep connec tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in [Man) that the quantum theory of (super )strings existed ...