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- W1994861470 abstract "In this paper, we construct the action of super vertex operators In section 1, we construct a Fock space V for a 2l-dimensional C-vector space A. In physics, V appears as the Fock space of Neveu-Schwarz model of dual poins. See Neveu-Schwarz [5]. In mathematics, V appears as the spin representation space of the affine Lie algebra&ŝ2l. See Frenkel [2] and [3]. In section 2, we define a super vertex operator A V,Z : V→V[[z,z-1]] for each element v of the Fock space V. The most important property of the super vertex operators is the so-called associative law. Using this law, we can see that the coefficients v n : V→V in A v,z span a Lie superalgebra and explicitly write down the Lie superbackets in section 3. It is a huge Lie superalgebra called the vertex operator superalgebra of A." @default.
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- W1994861470 date "1990-01-01" @default.
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- W1994861470 title "Vertex operator superalgebras" @default.
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- W1994861470 doi "https://doi.org/10.1080/00927879008824019" @default.
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