Vertex operator algebras and operads

Yi-Zhi Huang () and James Lepowsky ()
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Yi-Zhi Huang: University of Pennsylvania, Department of Mathematics
James Lepowsky: Institute for Advanced Study, School of Mathematics

A chapter in The Gelfand Mathematical Seminars, 1990–1992, 1993, pp 145-161 from Springer

Abstract: Abstract The notion of vertex operator algebra arose in the vertex operator construction of the Monster (see [FLM1], [B1] and [FLM2]). The algebraic theory of vertex operator algebras provides deep conceptual understanding of many (but not yet all) of the phenomena of monstrous moonshine (see [CN]) and at the same time establishes a solid foundation for the algebraic aspects of conformai field theory.

Keywords: Modulus Space; Line Bundle; Vertex Operator; Conformal Field Theory; Vertex Operator Algebra (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0345-2_9

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DOI: 10.1007/978-1-4612-0345-2_9

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